{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## Regression 使用Pytorch做回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn.functional as F\n",
    "import matplotlib.pyplot as plt"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "## 准备数据"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# torch.manual_seed(1)    # reproducible\n",
    "x = torch.unsqueeze(torch.linspace(-1, 1, 100), dim=1)\n",
    "# 将1维数据转换成2维数据，torch不能处理1维数据。x data (tensor), shape=(100, 1)\n",
    "y = x.pow(2) + 0.2 * torch.rand(x.size())                 # noisy y data (tensor), shape=(100, 1)\n",
    "\n",
    "# torch can only train on Variable, so convert them to Variable\n",
    "# The code below is deprecated in Pytorch 0.4. Now, autograd directly supports tensors\n",
    "# x, y = Variable(x), Variable(y)\n",
    "\n",
    "plt.scatter(x.data.numpy(), y.data.numpy())\n",
    "plt.show()  # 有噪音的抛物线图"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Net(\n",
      "  (hidden): Linear(in_features=1, out_features=10, bias=True)\n",
      "  (predict): Linear(in_features=10, out_features=1, bias=True)\n",
      ")\n"
     ]
    }
   ],
   "source": [
    "class Net(torch.nn.Module):  # 输入特征，线性处理进入隐藏层的数据，线性处理进入输出层的数据\n",
    "    def __init__(self, n_feature, n_hidden, n_output):\n",
    "        super(Net, self).__init__()\n",
    "        self.hidden = torch.nn.Linear(n_feature, n_hidden)   # hidden layer\n",
    "        self.predict = torch.nn.Linear(n_hidden, n_output)   # output layer\n",
    "\n",
    "    def forward(self, x):   # 激活一下进入隐藏层的数据\n",
    "        x = F.relu(self.hidden(x))      # activation function for hidden layer\n",
    "        x = self.predict(x)             # linear output\n",
    "        return x\n",
    "\n",
    "net = Net(n_feature=1, n_hidden=10, n_output=1)     # define the network 的大小\n",
    "print(net)  # 显示网络结构 net architecture"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "训练"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%% md\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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58jsys3FKuXLmTqigjX6+915TKlYQhDzDveDvia35a/duU+ws02bGM2SIdY1WCAmibIKhcWN4ySYD7LFj0LEjHDwYeZkEQQDMgv+oDnVISU7yb/5yV9vcbVNMODUVnnkmQtLmP8SMFix9+5pqnv/3f97tO3eyt10nOrUeQvo/xymfnMTAFjXEzisIYWbu2nTGLt7M7ozM7P93WkOvXrBqlbXvP/8xsXUF5P47XMiZDRalYOJE4xbtQ9nly+g8f5KUIRCECOEvv5nt/+6ZZ0x1Xl8uuMBU2yxePOzy5mdE2eQEd4bo5GRLV7/vptF8m8kWm5l1iv5SbE0QwoZjd+ePPvLreSY5zyKDKJucctFF8L5NqVjglU9fpNKhszZhmeUIQnhw5O68Zg306GG/g3fegUaNwiCZ4Isom9xw8822d0sljh9hwpznSDpx7ExboOAyQRCCx19U/5l28TyLGkTZ5Jann4bWrS3NtfbvYvSi18yipAvJrSQIoSU7d+dPvtvGLw2a23qeLalxNXM73BcpMQXEGy1H+Hq/DHnseW7+9VfYscNrXPtfvmJd+eq8W789ILmVBCHUuL3OfL3R0JqC9/SmVrrVmrCpTFUeav0wmR9tYOySreI1GiGU9rjzjiT169fXq1evzpNj5wbfZH9g7qRevzSB5r3aW6brWQUS6NZlJD9V/Y+kvBCECPH2DT25+4v3LO37iyXTrvvL7ClR+kxbUmJCTP03lVJrtNb181qOYBEzWpD48355ameCcYn2IfH0KSbMG8PL15SOmR+zIMQ0H35oq2iOJyRyT4envBQNyHpqpBBlEyTZer/ccYcJ+vTh/MOHaDn8IckQLQjhZtUqv55nA1v3Y115+8zNsp4afkTZBElA75cXX4Srr7YO+O47eOSRMEomCPmc9HRo396kj/Lhtatu45NLmvndVNZTw48omyAJmOyvUCETQFa2rHXj8eP9xuYIguCfgBU4jx41imbPHsu2C6tfzYw2d/PybZfzym2XO0vWKYQc8UYLEn/eL17rMeXLm5IEzZvDyZPeO+jTB+rUMbmYBEEISMAKnKdPQ8+eJnjTl7p1afXNZ7QqVsyr2VEuNSGkiDdaOHn1Vejf39petSqsXg0lS0ZcJEGINRqPXmpbpyYlOYnlg5rDsGEwfLh1w7Jl4Ycf4MILwy9kBBFvNMHKQw+ZstK+7NhhnAlOn468TIIQY2TrlDNjhr2icec8izNFE8uIsskl2dqSXRmi/764pnXDBQukdoYgOMDf4n3zf38z5jM73n3XVNAVogZHykYp1VIptVkptU0pNcjPmFuVUj8rpTYppT4IrZjRiZP05nO3ZHDrTQP5p3Ax6w6GDYP58yMmryDEInZOOZUyDzH+wxG2nmc8+SR07Roh6QSnBFQ2SqkE4HWgFXAJ0FUpdYnPmGrAYKCx1ro20D/0okYfTtKbj128mc3nXED/Nn7cnu+4A7ZvD6eYghDT+FbgrFpUMXfJWJIO/Gkd3LGjvVlNyHOczGwaANu01ju01ieA6UB7nzH3AK9rrQ8BaK33hVbM6MRJenP366UXN+DVq7tYB2dkmD/I0aPhEFEQ4oLUuiksH9Scnc+1YulPkyn5ywbroLp14b33pNpmlOLkW0kB/vB4n+Zq86Q6UF0ptVwptUIp1dJuR0qpPkqp1Uqp1fv378+ZxFFEwABPn9evNu7Kl1XqWTdYvx7uvdcrQ7QgCDYMH27i2HwpW9ZU2yxmY66OP0q5r6OuR5+8FsgJoboFKAhUA5oBXYH/KaWSfQdprSdqretrreuXLl3atzvmCBjg6TPmdIEE+rV9lD+SbQI+338fXn89rPIKQkwzYwaMGGFtL1IEPv4YKlSIvEx5wwH3ddT1sCZljEKcKJt0wNN/sIKrzZM0YJ7WOktrvRPYglE+cY2vLTklOcmSPdZ3TPFyZdj2xmTzB/FlwABYvjxS4gtC7LBqlX/Ps0mToEGDiIojBE/AoE6lVEGM8rgeo2RWAd201ps8xrQEumqteyilSgFrgcu11n/522++COrMjilT7BMGlisHP/5on+5GEPIj6elw5ZW2qWjGXd2FGW3vyVdZAOI2qFNrfRLoCywGfgE+1FpvUkqNUEq1cw1bDPyllPoZWAYMzE7RCED37vDAA9b2PXvg1lshKyvyMglCtHH0qCnrbKNoFlS/mpebdLMNORCiD0lXk5ecOAHNmsH331v7+vWDV16JtESCED2cPg233QYzZ1q6frrgIjp3G0NmobPm6DPpa+KcuJ3ZCGHEnSG6TBlr36uvwrRpkZdJEKKF4cNtFc2+YiW5u8NTXooGpCZNtCPKJsJY0tvsw2SITkiwDu7dGzbYxBMIQrwzfbpfz7MhPZ5lb4lSli6pSRPdiLKJIH7T25S4GMaOtW6QmQkdOpjAT0HIL/zwA/TqZd/37ru0ubu91KSJQUTZRJBs09v072/s075s3y4ZooX8Q1qa32qbPPUUdOniKORAiD6keFoEyTa9jVLw9tvw00+waZP3gPnzYeRI82cThHjlyBGjaPbutfZ16mQS17pIrZsiyiXGkJlNBAmY3qZ4cZgzB0qUsA4aOhQWLgyjdIKQh5w+beLOfvzR2levnuQ8iwPk24sgTtLbUK0aTJ1q3VhruP12U3hNEOKNoUNh1ixre7lyJhVN0aKRl0kIKaJsIohjW3O7dvDEE9YdHDokGaKF+GPaNHj2WWu7O+dZipjL4gEJ6oxWTp2Cm2+GxYutfd27w+TJZp1HEGKZ776D5s3h+HFr3/Tp9k4z+RwJ6hRCS0IC/N//QeXK1r4pU+DNNyMukiCElB07jEOAnaIZOlQUTZwhyiaaOf98mD3bPkN0//72aW4EIRY4dMjM3A8csHQtrHUNc9v2zgOhhHAiyiaPsWQU8E0mWLcuTJhg3TAry7iD2rmJCkI0c+KE+e3++qula125agxo1Y+xS7bmgWBCOBFlk4f4zSjgq3B69ID777fuYPduY2qQDNFCrHD6NNx1FyxdaulKK1Gaezo8zbHEIpLnLA4RZZOHZJtRwJdXXoFGjaztX38Njz8eHgEFIdQMHmzWIn34t1ASvTsNZX/xkoDkOYtHRNnkIdlmFPAluwzRL79sPHcEIZoZNw6ef97SfFIVoG/7QWwuXRmQPGfxiiibPCRgRgFfKlQwddj9ZYj+6acQSicIIWTmTOPUYsPGp8aw7YomkucszpHcaHnIwBY1GDx7o5cpLeBdXbNm5u7wkUe8248eNRmiV62Cc88Nj8CCkBO+/tokk7WL6Rs+nLpPP8ryyEslRBiZ2eQhOc5eO2CAfQzC1q0m4FMyRAvRwqZN/mNp+vSR5LL5CMkgEKscPmwcBnwzRINJ/WGX7kYQIkl6Olx1Ffzxh7WvTRuTdLagGFeCJVYzCMg3HWPMXZvO2MWb2Z2RScMWA5n6239JPPyv96CnnoL69aFFi7wRUhD+/htatbJXNA0b8snglxn9wtfszsikfHISA1vUsMzoPX/r/sYIsYOY0WII37icFYml6N9qgHWg1tCtG+zaFWkRBcGYzG65BTZutPZVq8aC5yby2MJt2caXOY5BE2IGUTYxhF1czvyqDXivWTfr4IMHjcNApgTHCeHHnQmj6uOfsKRBK1i2zDqoTBlYtIiRPxzwG1/m3k//Geucx6AJMYEomyjCX+oad3u6n7icEVfeBjfdZO1YuxYeeMDeC0gQQoTnLGTQsne5cYONoilWDBYsgKpV/caXuWcv/n7n4D82TYh+ZM0mSnD/Yd13c+kZmQyYsY7+M9ahgOzURdnzisMHH5iKhr/95t05eTI0bAj33Rcu0YV8jnvG3XvVXPqsmmMdULCgibOpVw8wcWR2CiVBKctsxhfJLBC7yMwmSrAzkWmfZzvOxOW4M0QXLmwd9NBDsGJFyGQVBE92Z2TS5peveWrp2/YD3n4bWrY889ZfxdpTAWbgklkgthFlEyXkxDxgicu54gr7OjfuDNF//plLKQXBys0HN/Pi/JfsO5991iSS9cBffFlKNrMWySwQ+4gZLUrwZ1rwR0pyEssHNbd29OplZjETJ3q3p6ebQNDPP5fYBiF0bNzIy9OGk3jqpKVrat3WTCjQiIFr0y1KIrVuiq3isMuoIUomPnA0s1FKtVRKbVZKbVNKDcpmXEellFZKxVzAUV5jZ1rwh9uc4LcWzrhx0KCBdcOvvoJBfr8+QQiOP/6AVq1IPPyPpWtxtUYMveFe0v8+dsZlOVDtphxn1BBigoAZBJRSCcAW4EYgDVgFdNVa/+wz7hxgPlAI6Ku1zjY9gGQQsOIOYkvPyLQ4Bbjfp7iC2yDAXWBamjGr7d9vPdCMGXDrreH8KEK8k5EBTZrYZrBYU74m3bqM5Hji2fXD5KREjp88LbOWEBCrGQScKJurgGFa6xau94MBtNajfMa9AiwBBgKPirLJHYGip/25QnuZ15YtgxtusOZKK1YMVq6E2rXD+RGEeOXYMbPg/9VXlq7t51Wg4x3Pk5FUwtGu/JqDBb/EqrJxYrxPATxzTqQBDT0HKKWuAC7UWs9XSg0MoXz5Fn82bTeOauFcdx2MGQMDfb6SI0f4/doWbJi9hDZNa4VCXCG/cPq0SfZqo2goW5bHuo8hQzlTNCBxM/mJXHujKaUKAC8BjzgY20cptVoptXq/nXlHcIzjWjiPPGI80Xyo+Fc6Re7pzdw1NrmrBMEOreHhh00RP1+KF4cFC7izy7W2bs0liyba7lLiZnJEKfd11PXok9cCOcGJskkHLvR4X8HV5uYc4FLgS6XULqARMM/OSUBrPVFrXV9rXb906dI5l1rwG6tgiUNQCiZNYmeZipZ93LDle/4cMiyMUgpxxUsvwauvWtsLFjQxXnXr+l3kH9q2trPfq+CEA+7rqOsxMfAmeY+TNZuCGAeB6zFKZhXQTWttk9selFJfIms2ESGYrLjX3zOBuVMe5pwT3maL0ygKLF5kn+5GENxMm2aSu9oxZQrceWfAXUgW59AQt2s2WuuTSqm+wGIgAZiktd6klBoBrNZazwu3kII9gdZ1PDl2UXUebT2At+Y+59VeAA1du8KaNVC5chikFGKepUstgZlnGD3akaKB4H6vQvzhaM1Ga71Aa11da32R1nqkq+1pO0WjtW4WaFYjRJ6BLWrw9aXX8GZD6/oNBw9Cx46SIVqwsn69KReQlWXte/BBeOyxyMskxCSSriaf4LalT2vbh28r/cc64McfzcVDMkQLbn77zRRA+8catEmHDmb9RqnIyyXEJFIWOk4Iyh6+f7+p5Pn779a+CRPg3nvDK6wQ/Rw8aII2f/nF2tekCXz2GSQF9iSTdZrQE6trNqJs4gDf8gRgzThg+YOvWmUuGidOeDVnJRTku0mzubZ72/ALLkQnx47BjTfCt99a+2rVMu3nnRdwN3a/S8kakHtiVdmIGS0OyK48gd9yuldeCW+8YdlX4qmT1OjbiwVfrA+TtEJUc+oU3HGHvaIpXx4WLTqjaALlOrP7XUq1zfyLKJs4IFAUtt8/eO/efHzlzZbmsv/+Rdk+PeCkNZOvEMdoDf37w6xZ1r4SJWDhQqho4rU8q3Nq7G9qHGW5EPINomziACdR2P7+4I81vZt15apZ2q/YsR4GD861bEIMMXYsjB9vbU9MhDlz4LLLzg51MGtxnOVCyBeIsokDnJQn8PcHL1WqBPenDuEvu8SJL7xgn5pEiD/efx8ef9y+b/JkaO6dLNPJrMVxlgshXyDKJg7wTBECxjnAk+z+4ANb1CDj/LL8t91jnFI2P4deveDnn63tQvywZIn5nu0YO9Y2c4CTWYvUpxE8EW+0OCRYd1P3+LaLpjLoq8nWAdWrG++1Es6z+Qoxwtq10LQpHD5s7evXD15+2SuWJruaS+JpFhli1RtNlI1wFq1NhujZs619t9xiFo5tgvgkliJG2bULrroK9u619nXuDNOnQ4Gzs90cudgLISdWlY0UoxfOohS8+64xm/36q3ffnDls6jeEPuVv9FIq4F0x1O2VBMiFJ5r56y9TAM1O0TRtapJrFvA2q/pzsZcCaIITZM1G8KZECTOzKV7c0lVz/PNUXve9l6vr8E82SSxFrJGZCe3awWab76h2bZg7F4oUsXSJK7OQG0TZCFZq1TIzHB8S9Glem/c8KX/vA4xSOXTUJkEjcgGKWk6dMgv+331n7UtJMbE0JUvabiquzEJuEGUj2NOpk7WcNHBe5j+8Ofc5Cp88YbPRWeQCFIVoDQ89ZGYuvriDNi+80NrnQlyZhdwgykbwz3PPwXXXWZov27uN4UsmAJCclCgXoFhhzBjbFEUUKmQUUJ062W4ursxCbhAHAcE/BQsaj6R69SAtzaury4bP+LlCTa541tQzEW+0KGfKFL8ZIfq27M/alZqByekBvzcpgCbkFHF9FgLzww9wzTWWDNGnEguR8O030KBBHgkmOOKzz+Dmm21z3T1zXW/eaXALIHEysUKsuj6LGU0ITIMG8NprluaErBNmbWf//jwQSnDEjz+aKqw2iubt+u3PKBoQL0IhvIiyEZxxzz1w113W9j/+gC5dJEN0NLJzJ7RubZsd4NOa1zCyeW9Lu9uLMFD5AEEIFlE2gjOUgtdfN+s3vixdCk88ke3mcvGKMAcOmKDNP/+09jVrxgu3D0Hb5MIrn5zkqHyAIASLKJs4J6QX+SJFTMqa88+39j3/vH0dFJzVPhFCyNGj0LYtbNli7bv0Upgzh/431/HrRShFz4RwIMomjgnLRb5SJZg2zZLKBICePW1r1svFK4KcPAldu8KKFda+ChVMLE1ycrZuzJIpQAgH4vocx2R3kc+Vx9GNN8Kzz8KQId7thw9Dhw7Ge+2cc840O714SULP3DH3xzS4/z5Sf5hv7UxONiWdK1Q40+TPjbl8chLpNt+ZBOoKuUFmNnFMWO9QBw2C1FRr+6+/mtooHi71TtKciKktd8xdm85vDz9hr2jcQZu1azval2QKEMKBKJs4JruLvNO1HL/jlIL33jO1bnyZNcsU3XLh5OIlprbcsWnkq/T7aoql/bRSpgrntdc63pdkChDCgQR1xjF29UeSEhPoWC+FWWvSLe2+FxR/23uN+/lnE4dz5Ij3wQsUMMGE119/Zl/ZmciqDJqP3S9RATtH35zzk5AfWLiQkze3oaA+bekafn0fhn7+Vh4IJYSLWA3qlDWbOMZ9Mfe9yDtdy3E07pJLTIboW2/1Pvjp0xzvdCtd7x3PWkoEXIORdYIcsno1dO5sq2gmNOjAZzfcxtBcHkLW0oRQIGa0OCe1bgrLBzVn5+ibWT6oeVDeRo7XfDp3hkcesYwrnHGQp6cMpdDJEwHXYOJxnSDssUXbt3OsRSvrrBL4uNa1jLuxd67Pn6ylCaHCkbJRSrVUSm1WSm1TSg2y6X9YKfWzUmqDUuoLpVSl0IsqhAqndUmCWfP5+Lb/QrNmlrGX79l6xoyT3RpMvK0ThP0ivX8/h6+7gSIHD1i6vq30H17qNpjnOv4n1+dP1tKEUBFQ2SilEoDXgVbAJUBXpdQlPsPWAvW11pcBM4HnQy2oEDqcziL8jbuuZmnLhXTQvF9Y8OQrpgCXD93WL+bW9Z8B2XvC2c3CYpWwXqSPHIE2bSj+xy5L1y+lKzOi5wi+erJFSM6fxNwIocLJzKYBsE1rvUNrfQKYDrT3HKC1Xqa1Pup6uwKogBC1OJ1F+Bu37Nf9thfSkav+gpkzITHRcsxnlrxJnT1b880aTKgv0u6Z5MWPzWN5vetNLJMPaSVK06PzcLYeSwiZCU+qcwqhwomDQArwh8f7NKBhNuN7AwtzI5QQfpzWJbEbN2DGOtuxuzMyoVFzGDcO7r/fq6/wqSzemjuKdT0+z7HMkSIUC+KhdHg44xV44iSjFr9O480rLWMyihSnR+cR7DvnfJKTEr28CN0mPMDv5/D3mQe2qGHrkRjLa2lC3hBSbzSl1B1AfcDWqV8p1QfoA1CxYsVQHlqIIAEvpPfeCytXwuTJ3v3/7KP8qIfh2kWQkGDZPhrwdfdOz8hkwIx19J+xjpQgFE9OL9J2F323Sa7f8ml03fCZZZvjCYnc3fEptpe6kKTEBJQiWxOe7/6BgMpJvNGiilJKKc+4kYla64l5Jo1DAsbZKKWuAoZprVu43g8G0FqP8hl3A/AacK3Wel+gA0ucTeziKP4mMxOaNDH1VHwZNAhGjbK2RwGNRy+1VaRugikw5nSG5B6XnpGJAq94o6TEBDKzTnHb+sWMWWStKaSV4oluQ5lWof6ZYwyYsc42Zslzf57viyQW4NDRLMvYlOQklg9qHvBzCpElnuNsVgHVlFJVgHSgC9DNc4BSqi7wFtDSiaIRohcnF0hHd7tJSSaTQL16cPCg90FGjzaBoLfcghMiGecRaE0lUG65YGX1Vdy+SiIz6xTXb1/FyMWv226vxo3jub59ec6jza24fElQynbG49vmRpwAhFASUNlorU8qpfoCi4EEYJLWepNSagSwWms9DxgLFAc+UkoB/K61bhdGuYUwYGdC8mfrd7TmU7myyRDdsqVXrjQAevSAWrWgZs2QyeS7XU4UlD8ToSf+Eoj6zkycyGrntebJf3Zv5rWPR9sGbW7p9SDV+/a1tPsz4WV3HDvECUAIJY7ibLTWC7TW1bXWF2mtR7rannYpGrTWN2itL9BaX+56iKKJQcLirnvTTfDMM9b2f/81GaJtqkjmVqbcxLjYuXv74i+BKNjPTLKTNbvZQ6VDu5k0czhFs45b+n6/uSPV37Ga1cC/F2GKH+WRnJQYdwG1QvQhGQSEM4QtpmLwYGhnc//xyy+m1LTNuqHbddffLCM7mXKjND0v1GBys3niJIFoMLL6mz2cfySDKR8+zfmZ/1g7b7iBirM/MMlQ/eAZs+R2MnDPvHw/z7B2teMqoFaITiQ3mnCGsOUnK1AApkyBK6+ErVu9+z76iJ8q1OTSl0acabJzQAhGptwqTU8TYSBznJN9Zierncmr2IlMJs0cTqWMvdYN6taF2bNN2QAH2K0JuU19vt51olyEcCLKRjhDWGMqzj0XZs/m5JUNKHjM+wJd85WRfFurDk3u6QwEni0Eksmf0tQYb7NgHAwCrU0FWuMJJKuvs8WF5yTy4cIXKbt3q3Vw5cqwYIFXYbpA2J1Lt6IRTzMhkogZTThD2POTXXopI26xJuwsqE9Te0AfSEsDsp8teMrkL0o+u3WXUOcoszuW21Tl9PydMXmNas3X26dTdvky66DzzjOVNsuWDUo+STcjRAsysxG8cJpZIKdMrdiIivXbc/fqj73aSx7JgE6d4Kuv/M4WPO/GnXip+XMBDklpbBchDXocPNiUa/ClSBH45BOoEfwMU0o3CNGCzGyEiFI+OYnRzXqx8sJLrZ0rV0K/fiGp7OmeLfhbQg/lnX1IEoiOHg1jxljbCxQw7uNXX50j2eKxdIMQm4iyESLKwBY1SCxSmAfbP87e4udZB7z1FqnrPgtoznNqHoqJRJJvvGFmNXa8/jqkpuZ41/FWukGIXcSMJkQUT7PTA6mDmTFtMImnTnoPuv9+UpcvJzWbBWyn5qGoTSSpNXz+uUnbs8xmjQbgySfhvvtyfahwm0YFwQkysxEijtvsNHvqoySOe9U64Phx6NgRDlgLg7lxah6Kujv7U6dMGYYrrzQBr/4UTd++MGKEfZ8gxCABE3GGC0nEKQDmDr9XL3jvPWtfo0bwxRdQtKjtppHMmZZrTpyA99836zJbtmQ/tnt34yhQQO4FBSuxmohTlI0QUnKkADIzoXFjWLvW2peaamYCISpJEHEFdfgw/O9/8OKLkO7A3bpzZ/jgAyhYMLaUqRAxYlXZyJqNEDJymjTzTIbo+vWtGaLnzoX+/U1BtmzSs4RVPo/tHV/8//oLxo83cvt+Jjtq1jROAnfeCUplKytIfRkh9pCZjRAy/OUyyy5a3fMC3urQVl5793ESsk5YB3buDBMnQnJyROXzlDNgDR8ws5eXXoK33oIjRwILdeWVRsm0b+9lNvMna3JSIsdPng4shxC3xOrMRozCQsgINlrdNzvzgpLVGNjmYfudf/SRyQu2YkXE5PMkYHLPLVvg7ruhShWjbAIomn0Nr+G/d79AleuepvHmc5m7fo8jmTIys0KfmVsQIoAoGyFkBBvTYncBn129CeNb3Wt/gF27TPXP0aPhtLW+S6jl88Tfxb/krxvNrKtmTXjnHciyVrw8g1LQoQNfTv2Ua28cwifn10QrZZtCJ9g4IEk/I0Q7omyEkBFstLq/C+SLddrAY4/ZH+TUKWN2atkS9tpkRQ6hfJ54Xfy1ptHvG5gy4yk+fa+/cWDIzhxdsCD07Ak//wyzZvFEWlLA2Yk/WUsWTQwsnyBEIaJshJARbEyL35lGyaLGRXj6dChRwv5gS5bAf/4DixeHTT5PBraoQdGCihu2rmT2+48yfdoQmu6y8Z7zpGhR6NcPduwwrsyuqqROzHn+ZB3atraknxFiEnEQEPIMR4vuO3ZA167www/+dzRwIDz7rOMaL0GTlQXTp/PP8JGU2O5gbSQ5Gf77X3joIShVytKdG0cFiLH4IiHkiIOAIASJo5lG1arw7bf+zWoAY8fCNdcYxZRDbMsVZGaa3GTVqkH37gEVzZ/FzzOy/P67if63UTSQ++SYIUn8GS6UyrWLekzy3nvQoAEUL25qNzVrBp9+mrN9ffqp2f7cc83+Gja0D3r2RKkeKPUDSh1Gqb9R6kuUahNgm7Io9TJKbUapTJQ6hFI/otTobLa5AqU+QKk0lDqOUn+i1Fco1T3Qx5KZjRAzDLhrDENmjKb00Qzb/qzi5/BM235MrdgoqDt+3xlWiWOH6bV+IQ+s/5TCh/4KuP3OkuV4q0FHVjS5mS+fbOnos8Tt7MStaPLoupInPPqoCdqtUMGUyThxwpiADx6E114zqYecMn68mRWffz7cdpuZrc+caWo9PfIIvPCCdWaj1AvAI0AaMBMoBHQBzgP+i9bjLcdRqjHwKVAUWABsBpKAi4HaaF3ZZpu+wKvAIWA+kO46xqVAGlp3ye6jibIRYoYqg+ZT6vAhXpz/UrbrJdMvu4lhN/RBFS3maE3GbdYqffgQd63+mDvWzuecE4G9uzaVqcobjTqzsMbVFC5cSGJdIP8pm+++M9kvLroIVq2CkiVN+65dUK+ecYH/9VdTZTUQu3aZdb1ixWDNmrPbHDpk4rG2b4fvvkNdffVZZaPU1cByYDtwJVofcrVXBtYAxYCaaL3rzHGUKgv8BBwGbkJr7/xJSiWidZZP203AImAJ0Amt/w24jQ9iRhNihvLJSewvXpIetw5n9LU9ySpgn8Kmy4bP+OS9AVTcvd1R/EmBXTt55rM3+HbCXdy/cmZgRdO0Kd+9NpU+/SeyoNY1lDuvuCNF46+yaL7l+HHjxl6njnGmKFHCmEM//NB+/Lx5cP31UK4cFC4M5cvDtdeaEg2e7NgBffrAxReb7BTnnWeOcd99JrNDKJkwwTw/8cRZRQNGUTz4oPmMdgXx7Jg0yYzv29dbOZUsCUOGeB/vLO604CPPKBrApVxeBwoDvXy2GQKcD9xnUTRmWzulMRbIBLpZFI3/bbyQmY0QM/iau+qm/8prn4ylwt9/2o4/npDIM9ffw7OLxtuvI2zcCKNHc3L6dAo6idtp08a4XeegkJnjDASxjtOZzYkTJuv1V1+Zu/k2beDoUWMy2rfPnOfnnjs7fuJEuPdeUxa7bVuzHrZvH2zYYI61apUZt2cPXHop/PMPtG5t9n3sGOzcaZK6rlxp+kNFhQoma8Tu3UYJevL99+a30qQJfPNN4H01aQLLl5vZ0lVXefft2WOUa4UKqLQ0z5lNGpAClEdr78hgpa4CvgO+RetrPNr3AwkYhVMLuB5jTtsOLELrwz77uRTYCMwFOgDNgHqABtYBy9A64B9IcqMJMYNvCeZ9teuy/p6lVBg/zGQY8KHwqSye/ewN6LjHBFy67zyXLzd31K4F3Gz/BAkJ0KULPP64uTvOIdllIIgrZeOUF180iqZVKzNjKej6FoYONQvto0YZBeRW7G+9ZdYv1q+HMmW89+VZimLmTLNW8sorxu3ckyNHvDNpZ2SYccGQmgqXX352f+npZhHfV9GAcSyBwFm+3Wx2zcKrV7f2lStnzGtpaRR3W6SUKoZRNIctisaw1fV8dodKVQFKAauAlwGfk8RfKNUdrRd4tF3pet4HfAk09dlmI0p1QOtt2X08UTZCTGFbCOyaGaytUZ+ao58m6eRx60Zz5hgbeKdO8Nln8NNPAY9zqlBhEu7ubRZlq1bNtdy5SZUTl0yaZGZBL710VtGAUSRPPWVS/7z9tvcssmBBSLQJarXz+kuyieEqVsz7fUYGDB8enNyVK59VNn//bZ7PPdd+rLs9I8PZvp3s78gRzjOzEgD3wL/97dH1nOzR5tbUV2AW9vsCH2J0wR3Ac8AslLoCrX/x2aY3xingZuBb4ALgadd281GqDlrbJDY0yJqNEPsoRd1nHuO7aQvYcUFl+zG//24ubIEUTYkSMGgQCb//ZtyeQ6BoIEbKU0eKf/+FbduMWcgV6OpFc1eskWfJidtvN2a2Sy6BAQNMNvD9+63btmtnZhoPPmgK8E2cCJs22Zv1Klc27cE8evYMwQnIU9zX/ARgBFq/jtb70XoPWo8FxgFFgP5+tumC1gvQ+h+03gp0B1ZjZk8dnRxYEGKe6zs1p+rOn3NUSnl/0WReuq4nn36ywphwLrggpLLlNrYmrnDfwduZnjzbPWcEDz9sYk0qVTJlG265xXxH110Hnmu/lSqZAOAOHUzZ7XvvNWs07u1CiXsG8refiYW73Wmmcof7Owhue6x7oJ+p0Jn2DI82z9dzbLZxtzWw2WYvWn/vNdos+n9ss40FMaMJ8UVSErz5pvFauvtu/39cF2klyvBWww58WOdGjicWJuW7PbRpWivkYvmuN8VVbE2wuC+q/nLb7dnjPc5N9+7mkZFhFtHnzDHmuBYtjHtx6dJmXK1aMGMGnDxp1ng+/9zEu/TrZ0xpvXubcbldsylWDFJSzLrNnj1W5bnVtWRitwZjR40aZv1pyxZ7B4EjR6BCBQ6npZnFeK2PoFQ6kIJS5WzWbVyLRnguGm0HTmKu/Rk2Urg92jyn3G6XTrvx/rax4EjZKKVaYoJ5EoC3tdajffoLA1MwHgp/AbdpT79uQYg0nTqZYmzduhmvIB/Wl6vGu/Xa8WnNaziZcPZvEM41FNv1pvzIOeeYuJQdO8wF2b2Q7mbZMvN8xRX22ycnG0+z1q1N9u9Jk+Drr43ZzJOCBU2sS716Zu2naVNjfvNUNrlZswFj8ps6FRYtMuXNPVm48OwYJzRvbpxXFi2yKhvPfU2Z4tmzFLgTaAn4+li38hhj0PoESn0DXIdZs/F15XS76u30aFsBHAEqo1QxtPatn2G3jYWAZjSlVALGX7sVcAnQVSl1ic+w3sAhrfXFGA+HMYH2Kwhhp3Jl4/H06qvG3NKpkynRnJ7OAw9NYG7t67wUDeTTNZS84K67zBrIwIEmk7ebAwfgmWfOjnGzbJn9usu+fea5aFHzvGaN/Wz2zz+9x0Fo1mzcJtuRI03wpZtdu8yaX+HCViV04ICZiXl60YEZV7iwySKwa9fZ9kOHzrqBW03E7sCbJ1DqbKCPCep8EDiOVQm95noe4fJoc2+TDDzlejftTLvWR4F3MGs5z6I84giUqgP0xMyWZvoK50nAOBtlfLWHaa1buN4PNsfXozzGLHaN+V4pVRDYC5TW2exc4myEvCTfxL1EGvd1qEcP/2PeeMPMOq6/3uS9q13bzFKOHjUu7Pv2mVx4YzzuWZOTzcJ/o0ZnlcQ335j4mnr1zOw1MdGUEH/rLROzctFFxt19+3b45BOzzbJl1llDbnnkEeN84pmuZsYME0Bql65m2DAzoxo61Lz25LXXTALX4NLVvAg8jHe6mtswcTT+0tVMwgR77gQWYqxWbTCu1LOAW71iZ5QqAXwFXA6sxGQtuAATd5ME9EfrV7M9T1rrbB9AJ4zpzP3+TmC8z5ifgAoe77cDpbLbb7169bQg5CVzfkzTV4/6Qld+/FN99agv9Jwf0/JapNjHyfzg0CEzNjNT65Ejta5dW+siRbQuXlzrxo21/uAD637ffFPr1FStq1TROilJ65Iltb78cq3HjNH6n3/OjluxQuv77tP6ssvMmCJFtL7oIq179tR648bwfe5339W6fn2tixY1n6NpU60/+cR+7NCh5jwMHWrfP2+e2b54cbO/+vW1njz5TDewWvteU6GnhlUajmj4V8NXGtpYxp0drzTc7bHNUQ2rNTyooYCfbYprGKlhi4bjGjI0fKbhJr/H8Xg4mdl0Alpqre92vb8TaKi17usx5ifXmDTX++2uMQd89tUH6ANQsWLFer/99lu2xxYEQRC8UUr9BnheWydqrSfmlTxOceIgkA5c6PG+gqvNbkyay4x2LsZRwAvXCZkIxoyWE4EFQRDyOQd0nNazWQVUU0pVUUq5U1fP8xkzD3AbaTsBS3WgKZMgCIKQbwg4s9Fan1SmjsFizCLSJK31JqXUCIztcB7GU2GqUmobcBCjkARBEAQBcBhno01StgU+bU97vD4GdA6taIIgCEK8IOlqBEEQhLCTZ/VslKmpkFN3tFJ4e2NECyJXcIhcwROtsolcwZEbuSpprUuHUphIkGfKJjcopVZHozeGyBUcIlfwRKtsIldwRKtc4UTMaIIgCELYEWUjCIIghJ1YVTbRGi0rcgWHyBU80SqbyBUc0SpX2IjJNRtBEAQhtojVmY0gCIIQQ0StslFKdVZKbVJKnVZK+fXaUEq1VEptVkptU0oN8mivopRa6Wqf4Uq1Ewq5zlNKLVFKbXU9l7QZc51Sap3H45hSKtXVN1kptdOj7/JIyeUad8rj2PM82vPyfF2ulPre9X1vUErd5tEX0vPl7/fi0V/Y9fm3uc5HZY++wa72zUqpFrmRIwdyPayU+tl1fr5QSlXy6LP9TiMkV0+l1H6P49/t0dfD9b1vVUplU3MgLHK97CHTFqVUhkdfOM/XJKXUPmWSE9v1K6XUOJfcG5RSV3j0he18RQVOUkPnxQOoBdQAvgTq+xmTgClnUBVTw2E9cImr70Ogi+v1BOD+EMn1PDDI9XoQMCbA+PMwKXyKut5PBjqF4Xw5kgs47Kc9z84XUB2o5npdHtgDJIf6fGX3e/EY8wAwwfW6CzDD9foS1/jCQBXXfhIiKNd1Hr+h+91yZfedRkiunviUHHG1nwfscD2XdL0uGSm5fMb/F5NmK6zny7XvpsAVwE9++ltj6scooBGwMtznK1oeUTuz0Vr/orXeHGBYA2Cb1nqH1voEMB1or5RSQHPOVo57D0gNkWjtXftzut9OwEJtqt2Fk2DlOkNeny+t9Rat9VbX693APiAcQWu2v5ds5J0JXO86P+2B6Vrr41rrncA21/4iIpfWepnHb2gFJvt6uHFyvvzRAliitT6otT4ELMGULs4LubriWXkyjGitv8bcXPqjPTBFG1YAyUqpcoT3fEUFUatsHJIC/OHxPs3Vdj6QobU+6dMeCi7QWu9xvd6LqVaXHV2w/tBHuqbQLyulCkdYriJKqdVKqRVu0x5RdL6UUg0wd6vbPZpDdb78/V5sx7jOx9+Y8+Nk23DK5UlvzN2xG7vvNJJydXR9PzOVUu5yJFFxvlzmxirAUo/mcJ0vJ/iTPZznKypwlIgzXCilPgfK2nQ9obX+ONLyuMlOLs83WmutlPLrzue6Y6mDyZjtZjDmolsI4/74ODAignJV0lqnK6WqAkuVUhsxF9QcE+LzNRXooc+WpM3x+YpHlFJ3APWBaz2aLd+p1nq7/R5CzifANK31caXUvZhZYfMIHdsJXYCZWutTHm15eb7yLXmqbLTWN+RyF/4Ku/2FmZ4WdN2d2hV8y5FcSqk/lVLltNZ7XBfHfdns6lZgjtY6y2Pf7rv840qpd4FHIymX1jrd9bxDKfUlUBdTczxPz5cyNc7nY240VnjsO8fny4bcFAJ0sm045UIpdQNGgV+rtT7ubvfznYbi4hlQLq21Z5HEtzFrdO5tm/ls+2UIZHIklwddgAc9G8J4vpzgT/Zwnq+oINbNaLaF3bTWGliGWS8BU9gtVDMlz0JxgfZrsRW7LrjudZJUwNZrJRxyKaVKus1QSqlSQGPg57w+X67vbg7Glj3Tpy+U5ys3hQDnAV2U8VarAlQDfsiFLEHJpZSqC7wFtNNa7/Not/1OIyhXOY+37YBfXK8XAze55CsJ3IT3DD+scrlkq4lZbP/eoy2c58sJ84DuLq+0RsDfrhuqcJ6v6CCvPRT8PYBbMHbL48CfwGJXe3lggce41sAWzJ3JEx7tVTEXg23AR0DhEMl1PvAFsBX4HDjP1V4feNtjXGXM3UoBn+2XAhsxF833geKRkgu42nXs9a7n3tFwvoA7gCxgncfj8nCcL7vfC8Ys1871uojr829znY+qHts+4dpuM9AqxL/3QHJ97vofuM/PvEDfaYTkGgVsch1/GVDTY9u7XOdxG9ArknK53g8DRvtsF+7zNQ3jTZmFuX71Bu4D7nP1K+B1l9wb8fC0Def5ioaHZBAQBEEQwk6sm9EEQRCEGECUjSAIghB2RNkIgiAIYUeUjSAIghB2RNkIgiAIYUeUjSAIghB2RNkIgiAIYUeUjSAIghB2/h+LeofwA03dSAAAAABJRU5ErkJggg==\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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Kl3ArF4OggiHKJhBeegnOPddaPnYszJ0beXkEQbDguuHvxOvy16FDcOutJB89aqn647Hn2JJ+tluZGAQVHFE2gZCaasyhixe31nXvbjL4CYIQVbwtc1nKtYZ77oF1Nkqoa1caPz0gN9GiAtLTUsUgKASIn02gnHeemeH088iesG8fdO0KCxYYowJBEKJClbRUMm0UjmX5a8IE+6SJ9eub1QqlyGiULsolxMjoGAx9+kCbNtbyhQvhlVciL48gCLkMalWH1KLuuaksy18rV8KDNinhS5SAGTOgZMkwS5m4iLIJBqVg0iSToc+Txx6DFSsiL5MgCABkNEr3vfx14ADcequxJvVk/HioVy+i8iYasowWLBUrGv+bVq3cy0+c4NAtt5HR4w02ZJupu8RQEoTw4xnfzPZ/p7UJsrtxo7WD3r2hs002TiGkyMwmP1x3nYkw4EGprZvoOXO0pCEQhAgRsLnz6NEwc6a1gwsugNdei4SoCY8om/wyYgQ0amQp7rj6K1r/9QNgzC4fkmRrghA2AjJ3XrbM3ieudGmzT5Mq/jORQJRNfile3JhDlyhhqXr+yzeocnB37nuZ5QhCePBr7vzvvyY/jUcEd8BEBzn7bGu5EBZE2RSEOnVM/hsPyh47zKtzX6ZITt4dl8RWEoTQ482rv0paKuTkGLeErVst9Rs69TDGAkLEEGVTUO6+G9q3txRftP0P+iz92K1MYisJQmjxZe68pv+TMG+e5ZhVlc/h5hoZstIQYUTZ5AO3YH8vfMP8vk9D1aqWdg8u+YjGmX/mvpfYSoIQWryZO5/26zLqvjHS0j4rpRR92w3mYE4R2U+NMEprHZUTN23aVC9fvjwq5y4Intn9wNxJTTjzEJf1vt2YWLqwrewZtO4+mpOlykjIC0GIBLt3s+ec+lQ8uM9S1aP9Uyw6u5lbWWrRpLj6byqlVmitm0ZbjmCRmU2QeLN+Gby3vHHs9KDagV289O2EuPoxC0LccuoU3HmnraJ5q9ktFkUDsp8aKUTZBIlP65ehQ+Giiyx1rVZ9TcaaReEWTRCE4cNN+CgPfkmvz0uXd/F6mOynhh9RNkHi0/qlaFET4K90aWuDPn1gw4YwSycICczChfDMM5bifall6Nf2EU4leQ+YIvup4UeUTZD4DfZ31lkwzpqQif/+gzvvtLf3FwTBJ34zcO7YAXfcYdkzzVGK/jc9TFL1arzaoSGvdWjoP1inEBYkNlqQOPddfMZi6tzZpByYOtX94GXLzJ3X8OERlFgQ4htPoxynkzQ4/o8nT0LHjrBnj+XYIk8+yeRnnrSU+42lJoQcsUYLFwcPQsOGsGmTe7lSsGgRXHllNKQShLijxchFtnlq0tNSWTK4JQwZAiOtZs60bAlffQVJSda6OEas0QR3ypQx+zeeP3St4a67TBgNQRD84tMoZ/58e0VTqZL9/0+IGqJsCojPteSLL7bdsGT7dujVy7K+LAiCFW+b9430QXPj5kmRIjBtGpxxRpglE4IhIGWjlLpeKbVOKbVeKTXYS5vblVJrlVJ/KKVscq4WPgIJbz671V38Ur2B9eCZM+HddyMnrCDEKXZGOWWK5PDO56Ng/37rAcOHwxVXREg6IVD8KhulVBIwFrgBqA90UkrV92hzDjAEaKG1Phd4KPSixh6BhDcftXA9D7QZyIHiNulmH3wQ/vor3GIKQlxjF5Jm5pY5lF+z0tr4+uvh0UcjLqPgn0BmNs2A9VrrjVrr48A0oJ1Hm17AWK31fgCt9W4SAL/hzR2vd5apyODr+1kbHjkCnTrZp6kVBCGXjEbpLBnckk0j27CkdhZnf/iOtVHVqjBlillGE2KOQL6VdGCby/vtjjJXagO1lVJLlFI/KaWut+tIKdVbKbVcKbV8j42ZYrzh08HT4/UXdS/lo/OvszZetco2zI0gCDZs2ADdu1vLk5Nh+nSoUCHyMkWeCs5x1PHoHW2BAiFUtwDJwDnAlUAn4G2lVJpnI631BK11U61104oVK4bo1NHDr4OnR5thV/dmQ3kbe/5XXjF+OYIgeOfoUbjtNuNW4MkLL0Dz5pGXKTrsdY6jjseEaAsUCIEom0ygmsv7qo4yV7YDc7TWJ7TWm4C/McqnUOMtvLmrg5hrm6PFUhh+xxPkJBe1dta1K+xOiNVHQcgf/fvDSpt9mnbtTJ0Q0wQSQeAX4BylVE2MkukI3OHRZjZmRjNJKVUBs6y2MYRyxiwZjdL9eh9b2tQ4DA8/7N5o1y6zPDBvnnH8FAQhj48+grfeshRvLXsGvS/ozr2rdkgUgBjH78xGa30S6AssAP4EPtZa/6GUGqaUautotgDYp5RaC3wDDNJaW2N8C4b+/eHaa63ln38OY8ZEXh5BiGX++sv4pXlwLCmZPu0G89exZIvLgRB7SLiaaLFzJ5x/Puzd615evDj8/LOpE4RE58gRk7ZjzRpL1RPX3sfUxm1y3+eGrynkSLgaITgqV4ZJk6zlx44Zc+hsya8hCPTta6to5ta9jKmNWruVSU6a2EaUTYRxC2+zpgQbO3SzNlq7FgYOjLhsghBTvPee7Q3Z1gpVjd+ax96m5KSJbUTZRBC78Da31MjgwNk2uTTefBPmzIm4jIIQE/z+O9x/v7U8JYX1YyaSU8o9QaHkpIl9RNlEELvwNlkk06fNILNX40mPHiYplCAkEv/9Z/xp7JaSx4yhZYdr/bocCLGHJE+LIN7WlJekVIKXXzbr067s2wddupicHBKCQ0gEtIbevWHdOmtdly7mBozAXA6E2EJGsAjiM7zN/ffDjTdaK7/+Gl56KcySCUKMMH68SQ/gSf36Jt26+KDFLaJsIojP8DZKwcSJJumTJ48/DolsJi4kBr/+aiKhe1KiBMyYASVtIqcLcYMomwjiN7xNxYowebL1wJMn4Y474NChiMorCBEjK8vs0xw/bq0bPx7q1Yu4SEJoEafOWGTQIPuls+7dzexHEAoTWkP79jBrlrWuVy+YEBdxJiOGOHUKoWPECGjc2Fo+aZIJoy4IhYjVjwyzVzQNG8Lo0RGXRwgPomxikWLF4MMPzVq1J/fcA1u2RF4mQQgD370/h3qvPGspP1GyFHzyCaSkREEqIRyIsokybhEFRi7KCyZYp479Xd2BA3DnnWYfRxDimX37qPNQL4rmnLJUPd1uAJx9dhSEEsKFKJsoYhdRwC16bY8ecOut1gOXLIHnnouorIIQUnJyoEsXKmVZczhNanITH1ZrFgWhhHAiyiaK2EUUyD5xilELHA5tSpnN0WrVrAc/84xROoIQj4waZVJqeLCqcm2eu6qHxDkrhIiyiSLeIgq4lZcrB1OnWp3ZcnLMclpWVvgEFIRwsHix8R3zICulFH3aDSY5JUXinBVCRNlEEZ8RBVy5/HLbPydbtsC99xrTUUGIB3bvho4d4ZR1n2ZgmwFw5pkS56yQIsomiviMKODJ0KFwySXW8unT7R1BBSHWOHXKzMZ37rTWDRrEuzOeYcnglqJoCimibKKI34gCriQnwwcfQJky1ro+fWD9+rDLKwgFYvhwWLjQWn7ppca3TCjUSASBeOPDD83doSdNmxqDgWLFIi+TIPhj/ny46Sbrkm+FCrBqFaTLbCZQJIKAEBFm17uCLxpda61YvtwstQlCrLFunYnt56FocpSiS8sHaDFlXZ65vwtefdCEuESUTRzh9MsZdEUvtqTZRId+4QVYtCjyggmCNw4cgHbt4OBBS9Ubl3Rkcc3GVv8yAvBBE+IOSZ4WR+T65RQvwYM3DWLG1EEk65y8BlrDXXfB6tVw2mnRE1RIOGavzGTUgnXsyMqmSloqg1rVIeP8StC5s20itG9rNuH1Fh1z37v6l41asI5MG7cAZxsxIIhPZGYTQ3hbNnCWu/4BV1WpwyuXdbZ2smMH9Owp5tBCxPA2C/n77n4wb56l/aZylXmg7SByirhbYjqPs1M0Trz5pgmxjyibGMHuD9t/+ipqDJ5P/+mrbP+Ab13Unp+qNbDpbLaEZRcihl0kjNa/fkXt99+0Ni5dmie6DudgSilLVZJSln48kcgC8YsomxjB7g+rPZ49ySmSxJCMRzhepqy1sn9/WLs2pDIKgh2es40m29fy3II37BtPncptXVrZ+ped8jMb9+qDJsQFomxihPwsD6SnpfJg95YUm/iutTI721gAHT0aAukEwTuus430A7sZP2sExU/ZRCUfMQLatvXqX5buY9bi0wdNiAvEQCBGqJKW6nOt2pP0tFSWDG5p3jRqbzIavv22e6PffoMhQ+DVV0MoqSC4M6hVHYbM/J0ih/7jnU+HUeHIAWujO+80v0UHGY3SbRXHkJm/u83wU4smiZIpJATk1KmUuh54HUgC3tFaj/TSrj0wA7hQa+3TY1OcOt1x7tn4W7OGvD8gkGsBdFYJmD3pQUpv3mA94PPP4YYbQi2yIOQye/lWTuvSicv+/NFStyq9LltnzCOneIrVYs1DidhatYmicSNenTr9KhulVBLwN3AtsB34BeiktV7r0a40MB8oBvQVZRM8zj9aZlY2Cve9Guf7dMcfEKx3gY33bWLGewMocvKEe8enn27Moc84I9wfQUhUHn0UXnzRUryjdAXadXmVExVP59jJHJm1hIB4VTaB7Nk0A9ZrrTdqrY8D04B2Nu2eBV4AZJMgn2Q0SmfJ4JZsHtmGVzs0dFvTfrVDQzaPbJMbqNDOoODX02oy5rq7rR3v3g3dupm0BIIQaiZPtlU0R4oWp2f7p9hTqhxZ2Sd8524SCj2B7NmkA9tc3m8HLnJtoJRqDFTTWs9XSg0KoXwJi7c1bSfeDApea9CaB05uhK++cq/48ktWP/os9512mSxRCKHjxx/NfqEN/dsMZO0ZZ/k8XPxmEocCW6MppYoArwADA2jbWym1XCm1fM+ePQU9dULjzd+gcrmS8P77ULGipa7uq8Mp8/cfEv5DCA1btkBGBhw/bqkaddldLKjTHDDLZeVKFLXtQvxm8kUF5zjqePSOtkCBEIiyyQRc8xJXdZQ5KQ00AL5VSm0GLgbmKKUsa4pa6wla66Za66YVbQZDIXB85sKpVAkmTbIcU+zUSUbPGUXKCbPSKcsYQr45dAjatgWbm8ZtN2Qw+4aubmbNQ286N/DcTYI/9jrHUccjLjy4A1lG+wU4RylVE6NkOgJ3OCu11geACs73SqlvgYf9GQgIBcO5/OXVcqdNG+jXD95wd647Z982nlj0Lk+06gPIMoaQD5wpyVevttZddBHVZn7EkpQU20PF0ixx8atstNYnlVJ9gQUY0+eJWus/lFLDgOVa6znhFlKwx9++Di++CN9+C7//7lbcedUXLK7ZmK9qXyLLGELwPPYYzLH521etakIleVE0fn+vQqEmIKdOrfXnwOceZU95aXtlwcUSQkJKikm2duGFlkgCL3wxmr+r1eGhDi2jJJwQl0yebFJZeFKihFFAlWxSXwgCEq6m8NOgAbz8sqW43NH/+OTHt0wYeEEIBB+WZ0yZAo0aRVYeIa4QZVNI8JnV8L77TEpeDyou/xFGjYqglELcsmUL3HyzreUZw4fDLbfYHibZNgUnAYWrCQcSQSB02IW68Yw4kFGtOJx/Puzc6X5wcjLfTpzF45klZONWsOfQIWjRwt4g4I47YOpUUMpSZfe7lKgBBacwRxAQYhxf6Qly/Wm2HTPr7Z6DwsmT1HywN1m79on/jWAlJ8dk27RRNP82aMhVdTtTc8jntrMWu9+lmNsnLqJsCgH+zJdz/+DXXAODrAEezty/k2EL37K2F4THH4fPPrMUHzmjMhlXD2LT4RyvNynefpdibp+YiLIpBARivpz7B3/2WWjSxFLffs0i2q79ztpeSFymTIGRNgHeU1Ppc9tTbE1xT9rneZPi7Xcp5vaJiSibQoBdNAFPcv/gxYoZc+iSJS1thi8YS9UDu9zbC4nJ0qXQs6d93ZQpfFuymm2V602KzygXQsIhyqYQ4Jr5EIxxgCuWP3jt2pbIAgBljh/htbkvUSoJGRASma1bvcY849lnoX37gGYt3jJyinFAYiLWaIWQgBJQaQ2dOsH06Zbj/+r1EHUnSHbPhMSX5VmnTsx++EVGffW3bc4lsTSLDPFqjSbKJpHJyoILLjB3sq4UKQLffQeXXhpQN5JdsZCQkwPt25uQM55ceCFzXv+QRz9f79vEXr73sBOvyiagcDVCISUtDT74AK64wj2xmjPQ4m+/mTYO7JQKuGcMdVolATLwxBtPPGGvaNLT4bPPeOH9P21N7NPTUlkyWMIeCb6RPZtE59JL4cknreVbt8I995jlNvIc9DKzst1MXZ+Z+4f4UhQGpk6F55+3lqemmphnlSuLKbNQIETZCOaOtnlza/nHH8N77wHeHfT2Hzlh26UMQHHE0qVwt006cTDmz40bA2LKLBQMUTYCJCeb5bQyZax1/frBP/8ErTxkAIoTfFmeDRtm9nAciCmzUBBE2QiGGjVg/Hhr+eHDcMcdVC9lv72XllpUBqB4xZltc/dua13HjmbG64KYMgsFQazRBHe6dYP337cU/93tftpVvck2qCJIBsa4IyeHHde0oco3X1rrLrzQWCOmyuw0FolXazRRNoI7//1n8pJs2OBerhQ/jPuIR7MqilIpBKy7+wHqTLQ69mafXonUlSugSpUoSCUEQrwqGzF9FtwpXdqEs2nRAk6ezCvXmkuH9WfJ6tVQoUL05BMKzgcf2Cua5OL0uX0oE0XRCGFA9mwEK82amc1hT3buhB49cs2hhThk2TKvlmcD2/TnG0fMM0l6JoQaUTaCPY88AldeaS2fOxfGjg26Oxm8YoBt26BdOzh2zFL1aos7+LzupVRJS/XqUyXfmVAQRNkUcvI9yCclGR+L8uWtdQ8/bKILBCGDDF5R5vBhY3m2a5elal7dy3i9RadcK0JJeiaEA1E2hZgCD/JVq8LEidbyY8fg6qvhm28C6kYGryiTkwN33QWrVlmq/kyvw6DWD5JerkSuGbNEChDCgRgIFGJ8DfIBW5G1awf33w/jxrmX79sH114Lr79u6m1y0DsJdPCSgJ4Fw+v1e+opmDXLekCVKtRb9jV/prtf4yppqWTafGfiqCsUBJnZFGJCdof60kvQoIG1/NQp6NvXxFCz80B3EEiYE1lqKxjert/y58bAiBHWA1JTTbrndKsyl0gBQjgQZVOI8TXIB7qXM3tlJi1eX8qVzR/g/9JOtz/R229Dy5a2+wEQ2OAlS20Fw+761dmylvOGDrA/4L33oKm9q4ZEChDCgSyjFWIGtarjFv4fzCB/Vd2KAaUFcN4tZ584BeWq0KbzK4z/bCRNt62xnmzJEuN5Pnt2buBGJ84+fS2RyT5BwfC8TpUP7mHCzOEUP2kTKHXoULj9dp/9ZTRKF+UihBRRNoUYb4N8oHs5nu32lUyjU4dnGbX4XTJ+nmc94bZtJmXBpEnQoUNQezCyT1AwXK9f6vGjvD1zOKcf3m9tePvtZg8nCGQvTQgFEq4mAak5eD5237oCNo1sE1i7GttMRGjXKAMurOvel5ur3MCRk3k9+Eob7DaLCqB9PBCJQdp5DmeaZnQO42aP5Ia/f7Q2btrUxDwrUSKo/gvb9xLvxGu4moD2bJRS1yul1iml1iulBtvUD1BKrVVKrVZKfa2UOjP0ogqhItC8JD73fC66iT7dX2Rfqk1aAqDOpDGMnvY0pY4dyS3ztQdT2PYJImHw4HoOMFkzB3z/gb2iqVzZLHEGoWhA9tKE0OFX2SilkoCxwA1AfaCTUqq+R7OVQFOt9fnADODFUAsqhI5ArY28tXPu+cwvX5u2XV9j7ek1bc9zzYZfmDVlIDX+zRtgfe3BZDRKZ8nglmwa2YYlg1vGraKByAzSnudou/Y7+i2dbm2YkuLV8swfspcmhIpAZjbNgPVa641a6+PANKCdawOt9Tdaa+ct7E9A1dCKKYSSQGcR3tp989eePOOCsqfT/s5RzK/TwvZc5+zbxmeTB3DZpl+BxNmDCfUgbWc96NpX679+4KX5r9oe+9TNDzM7OX/BNSU7pxAqAjEQSAe2ubzfDlzko/3dwBcFEUoIP4FaG9m16z99ldv77GIp9Gk3mHU/TmPADx9Y+ih77DDvffI0o67pSd2RTxZI7kgQir2WUBo8eO6bOJfk0koUZf+RE9z6+0Je+GI0STrHcuxrLToxufrFfGJjbeh5DrvP7M2iUXxuhGAJqTWaUqoz0BS4wkt9b6A3QPXq1UN5aiGC2A6kSvFpmx4MePg26NzZZIF0IUnnMPh/E6DKMXjrLbO0E4PYDez9p6/ioemrSA9C8eR3kLYb9L0tyZU7dZSeP35Cn+8/tO1rXp1Leb1Fp9z2ziU8z/4Bv6bwYo0WU1RQSrlaV03QWk+ImjQB4tcaTSl1CfC01rqV4/0QAK318x7trgHeAK7QWtvkmXVHrNHiF78WSmvWmDA3Gzfad3DRRTBzZkwm6GoxcpHtjMRJMJZYgc6QPC3KXP+RqUWTLIqm1LEjdF0xl56/zKbc0f9sz/1TtQZ0u+1pjhZ1V+qe/aUWTSKlaBH2H7H646SnpbJkcEu/n1OILPFqjRbIzOYX4BylVE0gE+gI3OHaQCnVCBgPXB+IohFil0AGSL93uw0awM8/Q4cO8PXX1pMsW2YcQGfNMrlzQiBTqPC3p+Ivtlywsnoqbs9bv+wTp0hSilNaU/rYYbotn8Pdyz8j7egha2cOltZuRvcbH7EomiSlbGdInmVOxAhACCV+lY3W+qRSqi+wAEgCJmqt/1BKDQOWa63nAKOAUsAnygRk3Kq1bhtGuYUw4G1vAKxr/X73fE47Db780qQjeP11a/2OHXD55SbUzV13hUQmz+Pyo6C87bW4ie4lgKjnzCQQWe2WyDwpmf0fvVbOo8uyWZQ9dtj3B2jfnt2PjELNXQceMxh/5/FEjACEUBKQn43W+nOtdW2tdS2t9QhH2VMORYPW+hqt9Rla64aOhyiaOCTk5rrJyfDaa/Duu1C0qLX+2DHo0gUGDTJBPUMkU0F8XOzMvT3xFkAU7GcmvmT1NXsom/0f/b+fyo9v3U2/xVN9K5oiRaB/f5g2jXbNatpaEaZ7UR5pqUUl8KYQdiRcjZBL2HwqevSAevXg5pvtg3W+9BL8/jt89BGUKwe4zxaClakgqRVclwi97aH4CyAajKx2M6m07IP0/GU2XVfMpfRxP9c+KcnMDB9/HM4+2+1zOD+Lvz2hp9uem/tZxAhACBeibIRcwhqf7JJLYPlyyMiAFSus9QsWGMOBzz5j9tEyFgOEYGQqqNK0G6iDDSAaqKyuVmvljhyg1y+z6PLrfEr5UzLJydC1KwwZArVqeW1mtyfkVDie1nWiXIRwIspGyCXsPhVVqzLnjWmoXr246Y9vrfX//AMXX8wPNz9KdqULvHbjTyZvSlNjrM2CuWv3tzflb4/Hn6wZjdIp9u9e/h32PDcv/YySJ476FqhoUejWDR57DGrU8CO9/czLqWjE0kyIJJLPRsglEvHJXvhuK/3aDOT5K7uRg012z4MHefH9J7jvp0/AxizfVSZvOXl87buEOkaZ3bmcn8rv9fu//4OHH6Z12+Z0Xjzdt6IpVgzuu88o5AkTAlI0IOFmhNhBZjaCG+HOY7IjKxuUYvxFt7KuwpmMnjOKMsePuLUpgubR796n7u7NPHpDv1wTXte78UCs1Lzt+QSdGtsH+XJ63LkTXnzROLce9TOTKVYMevaEwYOhWrWg5ZPUDUKsIDMbIaK4DnLf1rqQm7u8zIby9gNzuz+/45MPHqXywT1BZ/Z0BvW0mTsBob2zDziA6I4d8OCDcNZZxkrPl6IpXhweeMA4xo4dmy9FA5LiWYgdRNkIEcVz8NtwWjU69XiNXc2vtG1/3q4NzJ/Sn/FnHc1XZs+YCCS5bRv07WuUzOjRvpVMaqoxYd60yfgn5SNSsyuFLXWDEL/IMpoQUeyXnRpyxsibzVLRSy9Zjil/KIvL77kdTo0zS0oEvjwU1UCSW7bAyJEwcSIcP+67bWqq2ZMZNAgqVQqpGJLiWYgFJFOnEFtMnWoUyrFj9vV9+8IrrzB7ze6AM0hGPK3x5s3w3HPw3ntwwhpzzI2SJaFPHxg4EE4/PXwyCYWGeI2NJspGiD1++cX44+zYYV9/1VXwySfM3no0thwRN26EESNg8mSv6bJzKVXKKM6BA6FChcjIJxQKRNkEiSibwknIZhE7d8Itt8BPP9nX16xpsk+ed1505HNl/XqjZKZM8Rp2J5fSpaFfPxgwwMSPi7SsQtwjyiZIRNkUPvymHgiWo0fNPsZ779nXlyxpBvibb46IfJ6D/9N1i3LtzLfhgw8gx5q4zI0yZYwl2kMPQfnyBZIVJLRMIiPKJkhE2RQ+vOWC8eWt7vfuXWtjlTVwoPcB/Zln4IknTDDKEMvnKqdz8K+1bxt9f5xO2z8X22bHdKNsWWNd9uCDkJbmu20AsqalFuXYyZzQKXQh7ohXZSPWaELICNZbPaD0AUqZ2UCDBnD77bB/v7WjoUNh9WozAypVKmTyuTJqwTrSd26i34/TuenPxRSxxHf2oFw5s1TWr59ROB7kN+ZaVrbV4CCUTqqCEC7Ez0YIGcH6tASVPuCaa0xCtvr17U/+6afQooXxTwmRfLmsWcOQ95/mq3f70O7P73wrmvLlzf7N5s1mtuVF0fhLgRCsH5CEnxFiHVE2QsgI1ls96JnG2WfD0qVw00329atXmwyg334bEvlYvRpuuw3OO48b//rep5I5llbe+NRs3myCZJYp47VtIErWm6zlStjkBULCzwixjygbIWQE662er5lGmTIwe7bJ32LHvn1w7bUwbpwlkGfA8q1caYwOLrgAZszwLguwt0RZnruyO817v8Ps6zobazM/BKJkvck69KZzJfyMEJeIgYAQNfJjHea619F56zKGzhpFsrfwL717wxtvmGCWgbBiBQwbBnPm+G26p0Qa4y+6hQ8atia7mDVQqC8KYqgAYhKd6MSrgYDMbISoEexMyHOvY0r1i7it80scqeRloJ0wwez17N7tW5Cff+b/Lr8Wmjb1r2gqVWJYy15cdu87vNPsllxFA4HvmxQ0OGbAgT+jgVLmkWi8/z40a2YMVMqWhSuvhHnz8tfXvHnm+LJlTX8XXWT694VSXVHqZ5Q6hFIHUOpblLoxoPMpVQGldqKURqkfbOq7Oep8Pfw4mMnMRogjvM0Izk0+yvzFr8P339sfWL26WXpr1Mi9/KefjNn0l1/6P3mVKvDoo9CrFy1eX1qgmQkU4tmJU9FEaVyJCg8/DC+/DFWrwq23mjh406bBv/+amXXfvoH3NWaMsWA87TTo0MHMymfMgO3bjfn/Sy9ZZzZKvQQMBLYDM4BiQEegPNAPrcf4PKdSnwLXAaWAJWh9qUd9QyDDy9GXAS2B+WjtU7mJshHihpqD59tu0SvgtVvqk31fXzr++rn9wampJlT/JZfArl0mdtlXX/k/adWqJvVyjx6QYmYxIXdeLUwkmrL58UdjBVmrlgmzVK6cKd+8GZo0gcOH4a+/Akt2t3kz1K1rnJVXrMg7Zv9+Y/iyYQP8+COqefM8ZaNUc2AJsAG4EK33O8prACuAkkBdtN5se06lugDvA/cD47BTNr5QailwMdAOrX0uC8gymhA3+DIoeHHRJgZfez9PXHc/J4rYZOnMzjYKo149s0ThR9FsL1ORx1r1MaFo7r8/V9FA/sP2e8ssmrAcO2Ys+M47D0qUMMYfl10GH39s337OHLj6aqhc2eT7qVIFrrjCGIO4snGj2a87+2xzk1G+vDnHvfcaA5JQ8tZb5vnxx/MUDRhF0aeP+YyTJgXW18SJpn3fvu7KqVw5Y+Hoer487nU8j8hVNIBDuYwFigPdbc+nVHVgNPAu8EVgQrodfx5G0WQC8/02l5mNEC/4mlH0n74qd9Zz0dbfGTf7eU7LPhj0ObaVPYOxF9/Gp+ddzemnlQl4Wawgsheq2VCgM5vjx+G66+C778zd/I03wpEjZslo924zm3zuubz2EybAPfeY9As33WSCl+7ebczTtTazCjAx9Ro0gIMHoXVr0/fRo8b/6uuvYdkyUx8qqlaFzEwTNLZyZfe6pUuheXO49FLvS7yuXHopLFliZkuXXOJet3OnUa5Vq6K2b3ed2WwH0oEqaL3T7RilLgF+BH5A68s86hTwNVALOA+z5LaJYGY2Sr0B9AWGofVQf80lgoAQN/hKweyaAnpZ9fNo1/VV3v70Wert2RxQ39vSKvHGxbczs0FLTiYlh9yc2JdvTaFSNoHy8stG0dxwg5mxJDuGoqFDzUb7888bBdS8uSkfP97sX/z2mzUVw969ea9nzDB7Ja+9ZkIEuXL4sHtIo6ws0y4YMjKgYcO8/jIzzSa+p6IBOOcc8/z334H1vc7hZ1W7trWucmWzvLZ9O6WcK1JKlcQomkMWRWP4x/Fs0yEPAVcC16H1QZTyH7DPFaVSgc7AKeCdQA4RZSPEFd4SgXkmSdte9gzu7P4qc399h/SFPmb4tWrB44/z67lXsWTRRk5lZZMehg37goTKKZRMnGhmQa+8kqdowCiSJ580OY3eeSdP2YBpV9TGqdUuRUOqzZJryZLu77OyjIFIMNSokadsDhwwzzZRItzKs7IC6zuQ/g4fpjw414mdDQ9469HxnOZWqlR94DngLbReGJhwFm539DsfrbcFcoAoG6FQ4C0DaPrIdmbQ+vRTcwd88KC5I61dmxUtM+hfpD7b1h2nyq6NYbUICzSzaELw339mLyw93SxzedLSsXS5cmVe2Z13Gmus+vWhY0ezV9OiBVSs6H5s27Zmf6NPH1iwAFq1Mu3q17eaZNeokTiGDE6UKgpMAXYCjxSgp96O5/GBHiDKRig0eE1/3KuXebiQt4di0jXbBgENIVFNTx1rOO/g7ZaeXMtdZwQDBpgZzLhxMHq0Wf5SyiidUaOMjxTAmWeaGHpPP21M2mfONOXVqhkT5QceCN3ncM5ADniZWDjLA432XbasuSE6cMA+15Gjv3/N0hXkzVy8TIVyy7NcyoYAjYCr0PpQYIJ5oNS5QHOMqbUX808romyEhCTSeyi+9psSDucg/X//Z1+/c6d7OydduphHVpbZRJ81yyzHtWplzIuds5x69WD6dJMt9bffYOFC4+/y4INmKe3uu027gu7ZlCxpZmeZmUZmT+X5j2PLxG4Pxo46dYyy+ftvewOBw4ehalUObd9u8lpofRilMoF0lKpss2/j2DTCddOoMcZb4FsvzrctUEoDB9A6zYukzlnNu2jt15nTSUDKRil1PfA6Zq3wHa31SI/64sBkoAmwD+igvdl1C0IMEI09FK8zr0SjdGmzV7ZxoxmQnRvpTr75xjw3bmx/fFqasTRr3drkOJo4ERYvhvbt3dslJxtflyZNzN7P5Zcb515XZVOQPRswS35TpphZVHcPC+MvvshrEwgtWxprtC+/tCob174mT3atWQTcBVwPeNpY3+DSxsn/gL1YKQV0AHYB84AjtjIqleI43ymMyXTA+PWzUUolYey1bwDqA52U2WBy5W5gv9b6bOBV4IVghBCESJPvdANCaOjRw+yXDBrknkp771549tm8Nk6++cZ+f8UZiqhECfO8YoX9stauXe7tIG/PJphHt27u/d7rcHMZMcI919LmzcaJuHhxqxLau9fMxPZ6jPndu5v2Y8aY453s359nBu48Xx5Ox5vHUSrP0cc4dfYBjuGqhLQei9Y9LQ8Y7Gix3lHmbb3xNqAc8EWghgFOApnZNAPWa603ms+gpgHtgLUubdoBTztezwDGKKWUjpYTjyD4QfZQwoznoOzKuHFm/+SLL+Czz0x07datjZ/NJ58YBfLII8bvxMnNNxsT44svzlMS339v/GuaNDEx8MDMMsaPN8fWqmUcIjdsgLlzzUD+0EOh/ZzNm5v9pFdegfPPzwtXM316Xrgaz+gBY8aYGdXQoWZvyUnNmmb/6YEHzB6UXbgazxmP1j+i1CvAAGA1SjnD1XQgL1zN5hB+YucS2oSgj9Ra+3wAt2KWzpzv7wLGeLRZA1R1eb8BqOCr3yZNmmhBiCazft2umz//ta7x6Dzd/Pmv9axft0dbpPgnkPnB/v2mbXa21iNGaH3uuVqnpGhdqpTWLVpo/eGH1n7ffFPrjAyta9bUOjVV63LltG7YUOsXXtD64MG8dj/9pPW992p9/vmmTUqK1rVqad2tm9a//x6+zz1pktZNm2pdooT5HJdfrvXcufZthw4112HoUPv6OXPM8aVKmf6aNtX6vfdyq4Hl2nNMhW4aftFwWMN/Gr7TcKOlnbcH1HB8Pz/4aFPP0WabhqSA+3Y8/EYQUErdClyvzVQLpdRdwEVa674ubdY42mx3vN/gaLPXo6/eTs1YvXr1Jlu2bAlaOQqCICQySqktuO+7TNBaBz/TiDCBLKNlAtVc3ld1lNm12a6USsaY3FmCEDkuyAQw4WryI7AgCEKCs1cX0nw2vwDnKKVqKqWcoas9o3vOAbo6Xt8KLNL+pkyCIAhCwuB3ZqO1PqmU6gsswJg+T9Ra/6GUGoZZO5yDMYGbopRaD/yLUUiCIAiCAAToZ6O1/hwPT1Gt9VMur49iTOIEQRAEwYLksxEEQRDCTtTy2Sil9gD5NUergL0XbLQRuYJD5AqeWJVN5AqOgsh1pta6ov9msUXUlE1BUEotj0VrDJErOESu4IlV2USu4IhVucKJLKMJgiAIYUeUjSAIghB24lXZxKq3rMgVHCJX8MSqbCJXcMSqXGEjLvdsBEEQhPgiXmc2giAIQhwRs8pGKXWbUuoPpVSOUsqr1YZS6nql1Dql1Hql1GCX8ppKqWWO8umOUDuhkKu8Uup/Sql/HM/lbNpcpZRa5fI4qpTKcNS9p5Ta5FLXMFJyOdqdcjn3HJfyaF6vhkqppY7ve7VSqoNLXUivl7ffi0t9ccfnX++4HjVc6oY4ytcppVoVRI58yDVAKbXWcX2+Vkqd6VJn+51GSK5uSqk9Lufv6VLX1fG9/6OU6up5bJjletVFpr+VUlkudeG8XhOVUruVCU5sV6+UUqMdcq9WSjV2qQvb9YoJgg0THakHUA+oA3wLNPXSJgmTzuAsTA6H34D6jrqPgY6O128B94VIrheBwY7Xg4EX/LQvjwnhU8Lx/j3g1jBcr4DkAg55KY/a9QJqA+c4XlcBdgJpob5evn4vLm3uB95yvO4ITHe8ru9oXxyo6egn6DDrBZDrKpff0H1OuXx9pxGSqxseKUcc5eWBjY7nco7X5SIll0f7fpgwW2G9Xo6+L8ekXl7jpb418AUmNfPFwLJwX69YecTszEZr/afWep2fZrmJ3bTWx4FpQDullAJaYhK5AbwPZIRItHaO/gLt91bgC621fZrV0BGsXLlE+3pprf/WWv/jeL0D2A2Ew2nN9vfiQ94ZwNWO69MOmKa1Pqa13gSsd/QXEbm01t+4/IZ+wkRfDzeBXC9vtAL+p7X+V2u9H5OO+PooydUJ+ChE5/aJ1nox5ubSG+2AydrwE5CmlKpMeK9XTBCzyiZA0gHX1KTbHWWnAVla65Me5aHgDK31Tsfr/wPO8NO+I9Yf+gjHFPpVpVTxCMuVopRarpT6ybm0RwxdL6VUM8zd6gaX4lBdL2+/F9s2jutxAHN9Ajk2nHK5cjfm7tiJ3XcaSbnaO76fGUopZzqSmLhejuXGmsAil+JwXa9A8CZ7OK9XTBBQIM5woZRaCFSyqXpca/1ZpOVx4ksu1zdaa62U8mrO57hjOQ8TMdvJEMygWwxj/vgoMCyCcp2ptc5USp0FLFJK/Y4ZUPNNiK/XFKCr1jrHUZzv61UYUUp1BpoCV7gUW75TrfUG+x5CzlzgI631MaXUPZhZYcsInTsQOgIztNanXMqieb0SlqgqG631NQXswltit32Y6Wmy4+7ULuFbvuRSSu1SSlXWWu90DI67fXR1OzBLa33CpW/nXf4xpdQk4OFIyqW1znQ8b1RKfQs0Aj4lytdLKVUGmI+50fjJpe98Xy8bCpIIMJBjwykXSqlrMAr8Cq31MWe5l+80FIOnX7m01q5JEt/B7NE5j73S49hvQyBTQHK50BHo41oQxusVCN5kD+f1ignifRnNNrGb1loD32D2S8AkdgvVTMk1UZy/fi1rxY4B17lPkgHYWq2EQy6lVDnnMpRSqgLQAlgb7evl+O5mYdayZ3jUhfJ6FSQR4BygozLWajWBc4CfCyBLUHIppRoB44G2WuvdLuW232kE5ars8rYt8Kfj9QLgOod85YDrcJ/hh1Uuh2x1MZvtS13Kwnm9AmEO0MVhlXYxcMBxQxXO6xUbRNtCwdsDuBmzbnkM2AUscJRXAT53adca+BtzZ/K4S/lZmMFgPfAJUDxEcp0GfA38AywEyjvKmwLvuLSrgblbKeJx/CLgd8ygORUoFSm5gOaOc//meL47Fq4X0Bk4AaxyeTQMx/Wy+71gluXaOl6nOD7/esf1OMvl2Mcdx60Dbgjx792fXAsd/wPn9Znj7zuNkFzPA384zv8NUNfl2B6O67ge6B5JuRzvnwZGehwX7uv1Ecaa8gRm/LobuBe411GvgLEOuX/HxdI2nNcrFh4SQUAQBEEIO/G+jCYIgiDEAaJsBEEQhLAjykYQBEEIO6JsBEEQhLAjykYQBEEIO6JsBEEQhLAjykYQBEEIO6JsBEEQhLDz/8icQ0mRM9lyAAAAAElFTkSuQmCC\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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mVrb//XAnTtD+mWFUObjPUvVKmzv4Ps3qECAOQYVDxCYQ2rSBvn2t5atXw+jRkbdHEAQLzgV/V7xOf02cCB9+aC1v3ZpTnxyRl2jRiTgEFR4Rm0AZOxZq17aWP/GEER1BEKKKt2kuS/maNWYa3JPKlWH2bNIb13BLtCh7a0KD7LMJlJQUmDXLhLNxDTl+/LiZTvv+e0iWYbYgRItqqclk2giO2/TXf/+ZcDR209+vvZa3PpveME3EJcTIyCYYmjWDhx6ylv/6KwwfHnl7BEHIY0jbuv6nv+69FzZvth48cCC0j7ls9kUKEZtgeeQRaNjQWv7cc7BsWeTtEQQBMKMRn9Nfs2bB69aEiDRsCGPGRNTW4ohMowVLyZIm902jRpbIsIe738p1vaawKSeBaqnJDGlbV4bighBmMtZmMm7pRnZkZXv/v9u0yYxqPElJgTlzTE4rIazIyKYgnHOOrRdamb930Gvec5KGQBAiREDuzjk50K2bSR/gyYsvQp06EbO3OCNiU1AGDoRWrSzFXdYvo+3GrwDjdjlQkq0JQtgIyN15+HDjwONJ9+7GuUeICCI2BaVECZg5E046yVI1eukkt81iMsoRhPDg1915yRJ49llrgzPPhClT8sLRCOFHxKYw1KxpHAM8qJR9gNFLX3DLfSOxlQQh9Hjb1V8tNRl27oQePSx1x0ok8Nljz9s+KArhQ8SmsPToAR07Woqv2vwtN/70sVuZxFYShNDi1d35qtrsSr8Rdu+2HDP20tvp82sJmWmIMCI2BcAt2N/Y5Szp/zhUqWJpN2LZNKpn/Z33WWIrCUJo8ebuXHvmi5z87QpL+89rXcgrTdJlPTUKKK21/1ZhoHHjxnp1HIZ5cc3u5yQ5KYGZFTJpOvguS/tvTjuXbl1HUapUSQl5IQiRYNUqjrVsSaJrpA9gd0oqV9/xAntSKriVJyclxNX/plJqjda6cbTtCBYZ2QSJN++XQUdr2c4PN/1rPfdvWBJXX2ZBiFuysqBbN4vQANzfYbBFaEDWUyOFiE2Q+PR+mTgRatSw1N33yQzSk6yhzAVBCCFaQ69e8McflqopTa9nRS2byB8OZD01/IjYBIlP75fy5Y07tCdHjxp//qNHw2ucIBRnXn0V3nnHUry2al3GX3ILvpycZT01/IjYBInfYH+XXw7332898Icf4PHHw2+gIBRB/Gbg/Pln6N/fctzBUin07ziEUyqdxLM3NWDiTQ0kV02UEAeBAuA3FlN2tomd9ssv7geWKAErVsDFF0fWYEGIY7w55eStgx45Ak2awLp11oPfesukFPA4n99YajFMvDoIiNiEizVrTEqCY8fcy886y4xyUlKiYpYgxBstxiyzzVOTlprMymGtoV8/mDzZeuCdd5qptSJGvIqNTKOFi0aNYMQIa/nmzTBkSOTtEYQ4xadTzvz59kJTty48/3yYLROCQcSmkPicSx4+3AzvPZkyBZYujZyRghDHeFu8v0AdNKMXT0qWNGkDZPYgpghIbJRS7ZRSG5VSm5VSNsm7QSl1o1LqZ6XUBqXUm6E1MzbxG948MZFPho0jO9GaKyP71tth797IGiwIcYidU05KArzy0bP2/0PPPAMNGkTGOCFg/IqNUioBmAxcDdQHuiml6nu0qQ0MB1porc8BBobe1NgjkPDmIzce46nLeliOTd79j5lrFgTBJ3Yhad79dxmVv//G2vjaa+X/KkYJZGTTBNistd6itT4KzAE6ebS5G5istd4HoLXeFVozYxO/4c0d72df2IEvT29gbfjWWzB3bpisE4SiQ3rDNFYOa83WMR1Y2SKJs6dNtDZKS4MZMyRtQIwSiNikAX+5fN7uKHOlDlBHKbVSKfW1Uqqd3YmUUr2UUquVUqt320RjjTd8bvB0ea9VCYa2H8CBUjZzyH36wI4d4TJREIoW//4LN98MnuFolILXX4dKlaJjV2Sp7OxHHa9e0TYoEELlIJAI1AYuA7oB05RSqZ6NtNZTtdaNtdaNq9hESY43/G7wdGmzs1wVHrmqt/Uk+/ZBz55uuW8EQbBBa/O/sn27te5//4PLLou4SVFij7MfdbymRtugQAhEbDKB01w+V3eUubIdWKC1ztVabwU2YcSnSOMtvLnrBjHXNgvqX8aycy+1nujDD2FqXHxfBCF6vPiicXX2pEUL+20GQkzhd1OnUioRIx5XYETmO+BmrfUGlzbtgG5a69uVUpWBtUADrfW/3s5b5Dd1emPPHjj3XPjnH/fyMmXgxx/Npk9BENz58Udo2hRyctyK95dK4Y4B07it66VxFQWgMBTZTZ1a62NAP2Ap8AvwttZ6g1LqcaWUM0XlUuBfpdTPwHJgiC+hKdZUrmy/q/nwYbjtNjh+3FonCMWZQ4dMyBkPoQEYevUAvlfl3LccCDFJQGs2WuslWus6WusztdajHGUjtNYLHO+11nqQ1rq+1vo8rfWccBod93ToAHffbS1ftQrGjYu8PYIQywwcCL/+ail+vcHVLK3bHJCcNPGARBCIFuPHQ61a1vIRI0zsNEEQzNaAV16xFG+sXIMnWrtnxpWcNLGNiE2EyQtvM+oL+rQZgPbcE5Cba3Lf2EwZCEKxYutWkwzNg5zEkvTr+CA5Se6ROSQnTWwjYhNBPMPbfJB6Fq8262JtuH49PPJIxO0ThJghN9fspzlwwFL1y9DH2V7tDLcyyUkT+4jYRBC78DZPN+/O5lNtptOeeQa+/DJClglCjDFyJHz9tbW8SxcaPDnU75YDIfaQfDYRpNawxdjd7fq7trDk9cHmac7tgFrG5fOkkyJinyDEBJ9+ClddZd3oXKOGWc+sUCEqZsUKRdb1WQgd3uaU99c5xz5l9NatMHhwmK0ShBhi1y645Rar0CQkmFiCxVxo4hkRmwjiM7zNkCHQvLn1oGnTYNGiCFkoCFFEa7jjDvj7b2vdY4/Z/38IcYOITQTxGd4mIQFee80+4dNdd5nIA4JQlJk4EZYssZZffjkMs02jJcQRsmYTa7z8MvS2CdjZpQu8846ETxeKJmvWwMUXW9ctK1Uy65ZpsvjvRNZshNDQqxe0s8nQ8N578GaxSIAqFDMWrdjIX207WYUGYOZMEZoigohNrKGUiZ1mtxDaty/89Ze1XBDilIy1mRy7ty+n/WsT12zAALjmmsgbJYQFEZsokxdRYNhiWoxZZoIJVqsGU6ZYG+/fbxZQPRNHCUKc8uOYSaSv+9RSvrHaWTB2bBQsEsKFiE0U8YwokJmVnR+99qabTKRbTz791OT1EIR457ffGJzxnKX4UFJp+nQYAqVK2RwkxCsiNlHELqKAW/TayZPNKMeToUNho0S4FeKYo0ehWzfKHrUGzxx5VW9yzpC8TkUNEZso4i1KbV55xYowfbq1QXa2CdZ57FgYrROEMPLQQ8YDzYOM+q1Y3LCNxDkrgojYRBFvEQXcytu2hXvvtTb67jsYPTpMlglCGPngA5Niw4NtqVWZfMNgnupyvsQ5K4KI2EQRnxEFXHn6aahd23qCJ54A2askxBM7d8Ltt1vLExOp+dF8Pn70WhGaIoqITRTxGVHAlZQUmDULSnj8uY4dM6mksyVplBAHnDhhvq+7d1vrRo+Giy6KvE1CxJAIAvHE//4Ho0ZZy++/HyZMiLw9ghAMY8fah51p29aEqfF8mBJskQgCQvgZMYKseuday599FpYvj7w9ghAo33xjHpY82J2SyjWN7iLjx52WOts9aELcImITR2Rs2M2trfqRk5BkrezRw2z6FIRYY/9+6NbN1ntyUIdBrD+enL+/zIHPPWhCXCJiE0eMW7qRdanVGXfprdbKP/+EgQMjbpMggI9RiNYmsOzWrZZjXmrSmS9rXQjk7y9znmfg3B9870ET4o7EaBsg5JOxNpNxSzeyIyubaqnJDGlbl/SGaXnlmY79N9Mbd+Kqzd/S9K/17ieYORM6dYL09IjbLhRfnKMQpzg4RyEA6T98BHPmWI75oWptxns8NDmP8xQZV7ztTRNiH3EQiBE8/2EBFKBdfrpSff8/fDi9n3UHdpUqsH49nHxymC0WBEOLMcvyHoRcueTITmZPGwCHD7uVHypVhqtvf44/K1R1K09QiuN++qO01GRWDmtdeKPjGHEQEAqFXega7fHTle3lT+GxK+62VuzebdIUROkhQih+2I02UrMPMGrm/yxCA/DLiLHsPrm6W1lyUoJfobHdgybEDSI2MUJBpge+uqQjOy+9yloxf76ZUhOECOAZCSPhxHEmzR9Ljf3/WBv36EHjh/rZ7i9L8xJRA3zsQRPiBlmziRGqpSbbTkV4I2864c5z4dxzrWmjBwyA1q3h9NNDbKkguDOkbV23KeDhy6fT8o8frQ3r14cXXgDMhmY74fCcSk5OShCRKSIENLJRSrVTSm1USm1WSnlNBq6U6qKU0kqpuJtPjDZ2oWu84ZxOyFibSYsZG7jnkl7WRv/9Z9yhJfeNEGZcI2F0Xv8pd62eb2lz9KTyfDz6ZVpM+tbrvpmAI2oIcYlfBwGlVAKwCbgK2A58B3TTWv/s0e4kYDFQEuintfa5+i8OAlZcvc48nQKcn9McXmrg/hQ4fvEEuqxfZj3phAkmwoAghJtvvyWnRUtKHXNP73xclaBf9yf5rGZDGbWEgHh1EAhkGq0JsFlrvQVAKTUH6AT87NHuCWAsMCSkFhYjXKcWvLlBO2kxZpnbP+5jV/Si2R/rSPvPI+7U8OEmHEj9+hH5HYRiys6dcN11FqEBGNOqBx+knQ9e9s2I2BQPAhGbNMA18f12oKlrA6XUhcBpWuvFSikRmxDgbU7biadDwYHSZRnSfgBvzvUICZKTY3LfrFpFxobdPgVMEApETg506QI7dliq3q9/GdOaXOf1UNk3U3wotDeaUqoEMAEYHEDbXkqp1Uqp1bvtIr8KAWOXC+ermg14u3lna+Pvv+fXfkMl/IcQerSGvn1h1SpL1U+nnsWwdveRXDKRCmVsQizhPaeT4JPKzn7U8bJZtI09AhGbTOA0l8/VHWVOTgLOBT5TSm0DmgEL7JwEtNZTtdaNtdaNq1SpUnCrBa+5cEo/Mxbq1bO0P+vVF6j7h/vMp4T/EArNiy/Cq69aiveWTaX3dQ9TuUoqT3U+j5HXnhNY7iYhEPY4+1HHa2q0DQqEQKbRvgNqK6VqYUSmK3Czs1JrvR+o7PyslPoMeMCfg4BQOJzTX57TYh0bppncNxdfDMfz58gTT5xgwqLxdOjxPNklS+eVyzSGUGA++8y42HuSlETFDxbyVcuWliqZxi2++BUbrfUxpVQ/YCmQAEzXWm9QSj0OrNZaLwi3kYI9Xtd1LroIHnkEHn3UrfiMfTt48POZPHpV77wymcYQCsS2bXDDDW4PNHlMmgQ2QuNvHVIo2khstKJKbi40b26bNvqWG59gRa2G4noqFIxDh6BFC/jRZuNmnz5mak0IG/Hq+izhaooqSUkwezaULm2pGrdkIvVKHROhEYJHa+jZ015oLrkEJk6MuElCfCDhaooI9vty6plUvB7z6lUP/suHv78DDTtFyVohbhk7FubOtZafdhq8+y6ULOlW7G+/mFB8kGm0IoCv9ATVy5Xi/YxHqfLdSuuBb78NN9wgHYIQGEuWwDXXWCOKJyfDihVw4YVuxXbfS5m6LTwyjSZEDV/pCbYfyOGmZr3ILXuS9cDevfngo+9l/43gn40bTWpnm4fT/lf2o8VHWZbvjN33Utztiy8iNkUAf+7LW8pU4qmr+1or9u6lfP97yT7qnhteOgTBjf37TQbYAwcsVS817cKC+q1sH1K8fS/F3b54ImJTBAjEfXlGrRbQ2RpdoPnGb+j641JLuXQIAmBcm7t3NyMbDz6r1YinL70t77PnQ4q376W42xdPRGyKAIGkJ6hWoQy89BKccoql7pFlr1Bj30739tIhCAAjRsDixZbirRWq0b/jEE6UcP/euT6keItyIVEDiiciNkUA1zwgYJwDXMn7B69SBaZNsxyfknuE8YufpcSJ4+7theLN22/D6NHW8pNO4uEeT3KgdFlLletDiuSnEVwRb7QiiF/vsrvuso1nNaZVDxa2u1W80QT44QezcfPwYbdirRQP3vo4b1dtaMm5JJ5mkSFevdFEbIojBw7ABReYkCOuJCWZiAPnnx/U6cR1uoixe7cJefTHH5aq51rdxrPNbsz77JnUT/7u4SdexUY2dRZHypWD116Dyy5zd2XNzYVbboHvvoNSpSyH2YkKuGcMdXolAdLxxCO5uXDjjbZCs/zcS3i26Q1uZU6hWTmsdYQMFOIVWbMprlx6KQy2SUG0bp1Jtnb0qFuxc4Oe536cxxZukL0URYlBg0w0Z0/OO49+V/UH5bkiKJ6LQmCI2BRnnngCzj3XWv7OO3DttXDwYF6Rtw16+w5b0wCDdEBxyauvmojNnlSsCPPnk3pyRdvDxHNRCAQRm+JM6dImWGeSTRbFjz6CK6+Ef/8FghcP6YDijFWrTMRmTxISjFdarVriyiwUChGb4k6DBvD88/Z133wDzZrBpk1exSM1OUk6oHgnM9Ns+M21GaWOHw9XXAGIK7NQOMQbTTDMnGlcou2SYVWowJdPT6XXH2VtgyqCZGCMRzLWZvLconVMnNKfC3b+Zm3QowdMn267TiNEj3j1RhOxEfKZPx9uuglycqx1SUms+d/T9C95vohKESBjbSbD3/uJJ+aP5/r1n1obNGkCn39umw9JiC4iNkEiYhOjfP45pKdDVpZ9/cMPw+OPQwmZgY1nWoxZRtuP5zBimTWiBFWrmv1W1apF3jDBL/EqNtJjCO60amUWi888075+1CgTaj5bvM3imZo/rOKh5dYoEjkJiTBvHhn/aFqMWUatYYtpMWaZpJwQCo2IjWClXj34+msTrsSOt9+Gyy+Hf/4J+JQZazOl84oVtmzhxQVjSdQnLFXPpN9PRqnTJMeREHJEbIo4Be7kK1eGTz6Bm2+2r3d6qm3YEJAN0nnFCAcPQqdOlM/+z1I1+6KOnPPwAEl6JoQFEZsiTKE7+dKl4fXXYeRI+/pt26B5c7MnxwfSecUIWhsPs/XrLVVrzmhAuUnPkd4wTZKeCWFBxKYIE5JOXil49FEjOiVLWusPHID27eHll72eItDOS6baCoff+zdqFLz3nvXAmjVp9M3HdGpSE5CkZ0J4ELEpwoT0CbV7dzOtVqmSte74cejd28Ras9mnE0jnJVNthcPv/VuwAB55xHpgmTKQkWGmTR1IpAAhHIjYFGF8dfKBjiLc2q3M5eNXM6BOHfsLTpgAXbrAoUNuxYF0XjLVVjh83r+ffzbRvO2YMcOkm3BBIgUI4UBSDBRhhrSt6xb+H0wnf3m9KgGlBXA+Lbu267/6KM9MnUeHx+6D5cutF50/30SUXrgwb5+G85y+ogzIOkHh8HafDv69GzrdA/9ZHQJ46CGTTsCG9IZpIi5CSBGxKcJ46+R9PQW7djDe2o1e9Q8dPvzQTJ3NmGG98PffQ5MmLH9mOv/blhhQxIFqqclk2nSYsk4QGHb3r8SJ47y8ZDxs3mw9oEMHE/U7ACQ5nhAKRGyKOHZPqPfP/cG2refTsc/RRsmSJiR9nTowfLi1UWYmTW7rRN2OQ8k8q4nfpGreRmHxvE4QiU7aeY3MrGxLmuaHV8ym2W/fWQ+qWxfeeCOgKBB2o1tJjicUhIDWbJRS7ZRSG5VSm5VSw2zqBymlflZK/aSU+lQpdXroTRVCRaDeRn7XfMYup1bWeTx88wiO22T2TMk9wrR5T9Jj9QLA9xpMUVsniITDg+s1wAiNAtCa+35ZSs9V71oPKlfOTHWWLx/QNWQtTQgVfsVGKZUATAauBuoD3ZRS9T2arQUaa63PB94Fng61oULoCNTbyFs755qPsyN947QmdLt5LEcqVbFcK0Gf4NFPp/LYx1NIOHHc5xpMesM0Vg5rzdYxHVg5rHXcCg1EppO2u0aDzF9Z9NZQBi94wXqAUvDWW2ZkEyCyliaEikCm0ZoAm7XWWwCUUnOATsDPzgZaa9eV4q8BL64vQiwQyIK9r3Z2ndy3J5/FzT2fY96S0babBm//fjE1sv5m9K1eNogWMULdSdtNybmeq+7ubQxc8SZXb/rK+0lGjzZ7ooJA1tKEUBGI2KQBf7l83g409dG+J/BBYYwSwk+g3kbBrPmsVeVgxQqTpmDpUkv95VvWcOEbQ+HOC6BGjQLZHQlCsdYSyk7a27pJapkkKv+xmYEr36TDxpU+z7Gk/qUcbXML6T6uYfc7F8W1NCE6hNRBQCl1C9AYaOWlvhfQC6BGDHc2gm98dqTly8OiRdC/P0yZYmlTfvOvJlfKwoVw0UWRMDco7Dr2++f+wMC5P5AWhPAUtJO26/TtRpJpO7cy5Os5XLXhS0rgO03IgrMvZUi7AVT+aBMoZTk/4NcJQLzRYorKSinX/CxTtdZTo2ZNgPjNZ6OUuhh4VGvd1vF5OIDW+imPdlcCLwCttNa7/F1Y8tnEL54dMuRn7czrhLSG556DQYPMe0+Sk00InM6dI2R1YLQYs8xWSJ1Yfk8fBDpC8uVRlpyU4Hafz9zzFwO+eotrfvEvMr9WPp0nrriblTUbeD1fclICpZNKsO+wNSV0WmoyK4e19vt7CpElXvPZBDKy+Q6orZSqBWQCXQG3UMBKqYbAy0C7QIRGiF0C6SADetpVCgYONHlxunWzRBUgO9tEGxg7FoYM8Zl6OJL7PPytqdjtR3IlWFs9hdtTPrJzj5OgFDX3/En/lXO49pcv/IrM7nKVePbirsw9vw3HS+Q7eCQoZeu04FnmRJwAhFDiV2y01seUUv2ApUACMF1rvUEp9TiwWmu9ABgHlAXeUabT+FNr3TGMdgthIJg9FQHvML/2WvjyS7jmGtixw1r/4IOwaZOZcktKKpRNnscVRKC8TRG6YhdA1G5kEoitdlNkrtTam0n/lW/R8ZcvSLDJP+NufDUYPpxVja/m/cW/cdxjBOPrOranEycAIYQEtM9Ga71Ea11Ha32m1nqUo2yEQ2jQWl+ptT5Fa93A8RKhiUPC5q7bsCF8+635acerr0K7drBvX0hsKsweFzt3b0+8BRAF+5GJL1u9jR5q7s1k/KLxfPJKH677+TPfQlO1qpmy/P136NePjs3OtN2zlOZFPFKTkyTwphB2JIKAkEdY91SkpcEXX5hkbAsXWuuXLTO5cRYvhjPOcBstBGtToOF47HCdIvS2huIvgGgwtnqOpGrs20n/r+aQvmG5bSZNN045BYYNg3vuMWtgHr+H83fxtyb0aMdz8n4XcQIQwoWIjZBH2PdUlC0L77/P5tt6c9abr1jrf/0Vmjbli6enMXxLaZ+duC+bCiuadh11sAFEA7XV6bVWeXcm9301h87rl/kXmZNPzheZMmV8NrVbE3IKjqd3nYiLEE5EbIQ8IrGnIuOnvxl+Rhe6tCnJox+/ZO1Y9+yh2d03clX7ASyof5ntOfzZ5E00NcbbLJindn9rU/7WePzZmp56lAbrX6P6grdJPOFHZKpUgaFDoU8fSEnxazvYj7ycQiOeZkIkkXw2Qh6RiE/m7Pxeb9ienteP5L+S1qf+ksdzeX7hM/Rf+ZbFbdrVJm85eXytu4Q6RpndtZx+dT7v37ZtcPfdUKcONTPm+BaaypXh6adh61Z44IGAhQYk3IwQO8jIRnAj3HlMXDu5z89oRJdbxjH93ceofmC3pe2gFW9Qc98OhrXrz9HEJLen8UC81Lyt+QS6fhMIQW96/OMPEzZm+nQ4dsz3yStVMm7hffuaKcgCIOFmhFhBRjZCRPHs5DZVqcl1t05gQ/V6tu07b1jO7Ln/o2ruoaAyezqDenrbvRPKJ/uAAoj++afJ/1O7Nkyd6ltoKlY0grR1q3ENL6DQgKR4FmIHERshoth1fgcrVOb3txfC9dfbHtN0+wY+fudB0ssczCsLdHoo0HQKYeOvv+Dee+Gss+DllyHXulM/jwoVYNQoM8U2fDicdFKhL1/UUjcI8YtMowkRxdu0U8eGaTB3Lvzvf/DUU5bjyv61DS6+GObNg8suC3h6KGqBJDMzze8xbRocPeq7bWoqDB5s4smVKxdyUyTFsxAL+I2NFi4kNprglRkzoFcv+6mmpCSYOpWMC67yH5/NQUTTGu/YYURm6lT/IlO+vIkdN2BAwMnMBCFeY6OJ2AixyfLlJkhnVpZ9/UMPkdG5N+M+/i02NiLu3Aljxpipspwc323Ll4f77zcik5oaEfOEooOITZCI2BRNQjqK2LgROnQwYVjsuOEGeO01y+75iNkH8PffJpjoSy/BkSO+25YrZ4KT3n9/QCIT0RGZEDfEq9jImo0QMgoaNNMrdevC119DejqstEkO9s47xstr/nwTuiXM9rl2/uckZDPxz485691Z/kXmpJPMKGbQIOMEEAC+bAUJLSPEHzKyEUKGt1wwvnarB/T0npMDPXvCG2/YX/j0001MtXPOCbl9rnYOn7eOMln/cs8373Hr2iUkH/MzXVa2rFn0HzzYuDMHgTdbU5OTyDl2IqC1KqFoIiMbodgT7G71gEcapUrB7Nlmj8qjj1pP9McfJojnO+9AmzYhs8+Vae99w4CP3+C2tYspk+tHZFJS4L77jMhUrmzbpKAx17Kyra7TodykKgjhQvbZCCEj2D0tQaUPUApGjjTZPUuWtNYfOADt25u1kxDZB8CePfDgg7zz9M30/naeb6FJSTGbMLdtMx5pPoTGXwqEYPcBSfgZIdYRsRFCRrC71Qs00ujeHT791L4jP37cBKkcNMi8L4x9//5rNlbWrAlPP+1TZLKTSvPbbb3Njv8xY7yKjJNARNabrRXKWBPMgYSfEWIfERshZAS7W73Au/tbtjSOA/XsQ9zw7LPGbfrgQbfigOzbuxceftiIzJgx1nTWLmQnluLlJp1pec8rdKzRiYztfvbVOAhEZL3ZOvLacyT8jBCXiIOAEDU812zA/2K361pH3VLHmP3BOKp8Z+OpBiYz6MKFJnGbP/buhQkT4Pnn4b//fDY9kliS2Q3b83LTLuxJyfcuCzRsf2EcFUBcoos78eogICMbIWoEOxLyXOv4NSeR1lcOY1t6V/sLrF0LTZvCDz94N2LfPhgxgtzTa5q4ZL6EpnRpGDiQS+55lVGt73ITGgh83aSwwTEDCvwZLZQyr+LGa69BkybGA7F8ebjsMli0qGDnWrTIHF++vDlf06bm/L5Q6naU+halDqLUfpT6DKWuCeh6SlVGqZ0opVFqhU19JZS6C6XeR6nNKJXtuMYKlOqJUgHpiIxshLjB64igfGlWJqwxi/N2pKTAnDlwjcv/XlYWTJxoptwOHPB94VKlTMTmBx+EqlULPTKBIjw6cQpNlPqVqPDAAzB+PFSvboLJHj1qvm9798ILL0C/foGfa9Ik48lYqRLcdJNxhnn3Xdi+3Xg3PvOMdWSj1DPAYGA78C5QEugKVATuQ+tJPq+p1HtAG6AssBKtW3rU9wamADuB5cCfwClAZ6A88B5wA37ERMRGiBtqDVuM3bdVAc/e1IBlo19ibMY4+/0vJUrAiBFQvz5s2GCEZv9+n9fLSUyiVJ/eJgVztWp55QWZ/is2FDex+eoraNECzjwTvvsuf9Putm3QqJFZ8/v1V7MG6I9t28w6ZEoKrFmTf8y+fXDRRSaSxldfoZo3zxcbpZoDK4HfgYvQep+jvCawBkgB6qH1NttrKnUb8BpwL/Ai9mLT2nGexWiX1LpKnQp8C5wGXI/W7/n69WQaTYgbfDkUjFu6kQVnNuOmm59iV4rNLv0TJ8wenRtvhMce8yk0OQmJvHZhB1r1mmbWcFyEBgoett9bZtFiS06OccI47zwoU8aE87nkEnj7bfv2CxbAFVdA1apmtFmtGrRqBS++6N5uyxYTyPWss0woo4oVzTV69zZehqHE6Wr/8MPu0SFq1jRJ73JyTGDZQJg+3bTv189dnCpUgIcecr9ePr0dP0flCQ3gEJfJQCngDtvrKVUDeB54FfjAq11aL0PrhW5CY8r/BpwGXeb1eOflZGQjxAu+RhT3z/0hb9RT7cAuXn33cc7evS2o8x8tkcjcC9rwYrMb2FmuSlDTYoWxvUiNhgId2Rw9ajbgfv65eZq/5ho4fNhMGe3aZdzOR4/Obz91KtxzD5x6Klx7rXEv37ULfvrJXOu770y7nTvh3HPz913Vq2fCCW3dalzmv/nG1IeK6tVNOokdO4wIurJqldls3LIlfPml/3O1bGnCMn31lUmn4crOnUZcq1dHbd/uOrLZDqQB1dB6p9sxSl0MfAWsQOtLPOoU8ClwJnAeZsptK3YjG18oNQR4GpiI1vf7aioRBIS4wVcKZtcU0DvKncwN3Z9m0vyxXLZ1jd/znkhM4u3zr+L5ptezo9zJQOjdiX3trSlSYhMo48cbobn6ajNiSXR0RSNHmoX2p54yAtS8uSl/+WWzfvHjj3Dyye7n2rMn//2775q1kokTTTw6Vw4dMtOpTpzrdsGQng4NGuSfLzPTLOJ7Cg2YiBcAmzYFdu6Njn1WdepY66pWNdNr27dT1jkjpVQKRmgOWoTG8Jvjp80JGYgZjbRB6wMoFVw8JXP9ROA2x6cP/TUXsRHiCm+JwDyTpB0sVYZ+3R5jwW/vcMY7Xjx5EhPhzjsp8dBDlN6biFq6ERWmBfvChMopkkyfbkZBEybkCw0YIXnkEbjrLnjllXyxAdMuyWZTq90mWrtI4Ckp7p+zssyUajDUrJkvNs6pWG+5iJzl3tJkeBLI+Q4doiI4XRmdDb3NCTvLU91KlaoPjAZeQutPAjPOljHAucAStF7qr7GIjVAk8DbqOaNBe+jaEd5/30zTKGWebuvX56OL2vHYusPsmLI+7B5hgWYWLRb89x9s3mz2P9ltzG3tmLpcuza/rHt3441Vvz507WrWalq0gCpV3I/t2NGsb/TtC0uXQtu2pl39+laX7Jo1i48jgxOlkoDZGM+yoYU4T3+MB9yvwK2BHCJiIxQZvKY/7tzZvFwIeToEP0QtPXUs4nyCt5t6ci13HREMGmRGMC++aJw2Jk404tGqFYwbB40dnsCnnw7ffmucQT780KQRBzjtNOOi3L9/6H4P5wjEm7OJszzQBHnly5spwf37jeuzl/PtBeeXyHlhb2leneVZLmXDgYbA5Wh90HJEICjVD3gO+Bm4Aq33BnKYiI1QLIn0Goqv9aZih7OT/vtv+/qdO93bObntNvPKyjKL6O+/b6bj2rY17sXOUc7ZZ8PcuSat+I8/wiefmP0uAwaYqbSePU27wq7ZpKSY0VlmprHZUzx/cyyZ2K3B2FG3rhGbTZvsHQQOHYLq1Tm4fbvxCtP6EEplAmkoVdVm3caxaITrotGFmN0Cn3nZfNsCpTSwH61TLbVKDQSeBdZjhGZXYL9cgGKjlGqHUbIE4BWt9RiP+lLALKAR8C9wk/bm1y0IMUA01lC8jryKGyedZPalbNliOmTnQrqT5cvNzwsvtD8+NdV4mrVvb1zap0+HL76ALl3c2yUmmr0ujRqZtZ9LL4WMDHexKcyaDZgpv9mzzSjqDg8P4w8+yG8TCK1bG2+0Dz+0io3ruWbNcq1ZhpnGagd4+lhf7dLGycfAHqyUBW4C/gEWAYctLZR6ELNO8wNwFVrbnccrfvfZKKUSMP7aVwP1gW7KLDC50hPYp7U+C6N6Y4MxQhAiTYGDgAqh4c47zXrJkCHuEbr37IEnnshv42T5cvv1lV2OB+syZczPNWvsp7X++ce9HeSv2QTz6tHD/by9HdtcRo0ymy+dbNsGkyeb/UCeIrRnjxmJ7fHoq++4w7SfNMkc72Tfvnw3cOf18nHuc3kYpfI3+phNnX2BHFxFSOvJaH2X5QXDHC02O8rc5xuVegQjNGswI5qghAYCG9k0ATZrrbeYa6o5QCfMfJ2TTsCjjvfvApOUUkpHaxOPIPhB1lDCjGen7MqLL5r1kw8+MCm9L7jAjFIOHzYJ8HbtgqFDzb4TJ9ddZ1yMmzXLF4kvvzT7axo1giuvNO1mzzZu0i1bmtFThQpm5/3ChaYjHzgwtL9n8+ZmPWnCBDj//PxwNXPn5oer8YweMGmSGVGNHOmeDLBWLbP+1L+/WYOyC1fjOeLR+iuUmgAMAn5CKWe4mpvID1ezrVC/o1K3A49j1oq+BPrbTMFtQ+uZPs+jtfb5Aq7HTJ05P98KTPJosx6o7vL5d6Cyr/M2atRIC0I0ef/77br5U5/qmg8u0s2f+lS///32aJsU/wQyPti3z7TNztZ61CitzzlH69KltS5bVusWLbR+803readM0To9XetatbROTta6QgWtGzTQeuxYrQ8cyG/39dda9+6t9fnnmzalS2t95pla9+ih9bp14fu9Z8zQunFjrcuUMb/HpZdqvXChfduRI819GDnSvn7BAnN82bLmfI0baz1zZl41sFp79qnQQ8N3Gg5p+E/D5xqusbTz9oKajr/PCpu6RwP4u37m7xp+Iwgopa4H2mkz1EIpdSvQVGvdz6XNekeb7Y7Pvzva7PE4Vy+gF0CNGjUa/fHHHz6vLQiCILijlPoD93WXqVrrqdGyJ1ACmUbLxARac1LdUWbXZrsyu0rLYxwF3HDckKlgwtUUxGBBEIRizh5dRPPZfAfUVkrVUko5Q1cv8GizALjd8f56YJn2N2QSBEEQig1+RzZa62PKbOJZinF9nq613qCUehwzd7gAEzV0tlJqM7AXI0iCIAiCAAS4z0ZrvQRY4lE2wuX9EeCG0JomCIIgFBUkn40gCIIQdqKWz0YptRsoqDtaZex3wUYbsSs4xK7giVXbxK7gKIxdp2utq/hvFltETWwKg1JqdSx6Y4hdwSF2BU+s2iZ2BUes2hVOZBpNEARBCDsiNoIgCELYiVexidXdsmJXcIhdwROrtoldwRGrdoWNuFyzEQRBEOKLeB3ZCIIgCHFEzIqNUuoGpdQGpdQJpZRXrw2lVDul1Eal1Gal1DCX8lpKqW8c5XMdoXZCYVdFpdTHSqnfHD8r2LS5XCn1g8vriFIq3VE3Uym11aWuQaTscrQ77nLtBS7l0bxfDZRSqxx/75+UUje51IX0fnn7vrjUl3L8/psd96OmS91wR/lGpVTbwthRALsGKaV+dtyfT5VSp7vU2f5NI2RXD6XUbpfr3+VSd7vj7/6bMmHqI2nXsy42bVJKZbnUhfN+TVdK7VImOLFdvVJKPe+w+yel1IUudWG7XzFBwCGoI/wCzgbqAp8Bjb20ScCkMzgDk8PhR6C+o+5toKvj/UtAnxDZ9TQwzPF+GDDWT/uKmBA+ZRyfZwLXh+F+BWQXcNBLedTuF1AHqO14Xw3YCaSG+n75+r64tLkXeMnxvisw1/G+vqN9KaCW4zwJEbTrcpfvUB+nXb7+phGyqwceKUcc5RWBLY6fFRzvK0TKLo/292HCbIX1fjnOfSkm9fJ6L/XtgQ8wqZmbAd+E+37FyitmRzZa61+01hv9NMtL7Ka1PgrMAToppRTQGpPIDeA1ID1EpnVynC/Q814PfKC1tqZZDS3B2pVHtO+X1nqT1vo3x/sdwC4gHJvWbL8vPux9F7jCcX86AXO01jla663AZsf5ImKX1nq5y3foa0z09XATyP3yRlvgY631Xq31Pkw64nZRsqsb8FaIru0TrfUXmIdLb3QCZmnD10CqUqoq4b1fMUHMik2ApAF/uXze7iirBGRprY95lIeCU7TWOx3v/wZO8dO+K9Yv+ijHEPpZpVSpCNtVWim1Win1tXNqjxi6X0qpJpin1d9dikN1v7x9X2zbOO7Hfsz9CeTYcNrlSk/M07ETu79pJO3q4vj7vKuUcqYjiYn75ZhurAUscykO1/0KBG+2h/N+xQQBBeIMF0qpT4BTbaoe1lrPj7Q9TnzZ5fpBa62VUl7d+RxPLOdhImY7GY7pdEti3B8fxKRcjZRdp2utM5VSZwDLlFLrMB1qgQnx/ZoN3K61PuEoLvD9KooopW4BGgOtXIotf1Ot9e/2Zwg5C4G3tNY5Sql7MKPC1hG6diB0Bd7VWh93KYvm/Sq2RFVstNZXFvIU3hK7/YsZniY6nk7tEr4VyC6l1D9Kqapa652OznGXj1PdCLyvtc51ObfzKT9HKTUDeCCSdmmtMx0/tyilPgMaAu8R5fullCoHLMY8aHztcu4C3y8bCpMIMJBjw2kXSqkrMQLeSmud4yz38jcNRefp1y6ttWuSxFcwa3TOYy/zOPazENgUkF0udAX6uhaE8X4Fgjfbw3m/YoJ4n0azTeymtdbAcsx6CZjEbqEaKbkmivN3XstcsaPDda6TpAO2XivhsEspVcE5DaWUqgy0AH6O9v1y/O3ex8xlv+tRF8r7VZhEgAuArsp4q9UCagPfFsKWoOxSSjUEXgY6aq13uZTb/k0jaFdVl48dgV8c75cCbRz2VQDa4D7CD6tdDtvqYRbbV7mUhfN+BcIC4DaHV1ozYL/jgSqc9ys2iLaHgrcXcB1m3jIH+AdY6iivBixxadce2IR5MnnYpfwMTGewGXgHKBUiuyoBnwK/AZ8AFR3ljYFXXNrVxDytlPA4fhmwDtNpvg6UjZRdQHPHtX90/OwZC/cLuAXIBX5weTUIx/2y+75gpuU6Ot6Xdvz+mx334wyXYx92HLcRuDrE33d/dn3i+D9w3p8F/v6mEbLrKWCD4/rLgXoux97puI+bgTsiaZfj86PAGI/jwn2/3sJ4U+Zi+q+eQG+gt6NeAZMddq/DxdM2nPcrFl4SQUAQBEEIO/E+jSYIgiDEASI2giAIQtgRsREEQRDCjoiNIAiCEHZEbARBEISwI2IjCIIghB0RG0EQBCHsiNgIgiAIYef/hRZtlXpzxvUAAAAASUVORK5CYII=\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "optimizer = torch.optim.SGD(net.parameters(), lr=0.2)  # 设置优化器优化网络（优化参数，学习率）\n",
    "loss_func = torch.nn.MSELoss()  # 均方差处理回归问题 this is for regression mean squared loss\n",
    "\n",
    "for t in range(200):  # 训练的过程\n",
    "    prediction = net(x)     # input x and predict based on x\n",
    "    loss = loss_func(prediction, y)     # 计算预测值和真实值的误差，预测值在前面，顺序不同可能影响结算结果 must be (1. nn output, 2. target)\n",
    "    optimizer.zero_grad()   # 梯度重置为零 clear gradients for next train\n",
    "    loss.backward()         # 开始这次的反向传递，计算梯度 backpropagation, compute gradients\n",
    "    optimizer.step()        # 使用优化器优化梯度，apply gradients\n",
    "    if t % 25 == 0:\n",
    "        # 可视化显示训练过程 plot and show learning process\n",
    "        plt.cla()\n",
    "        plt.scatter(x.data.numpy(), y.data.numpy())\n",
    "        plt.plot(x.data.numpy(), prediction.data.numpy(), 'r-', lw=5)\n",
    "        plt.text(0.5, 0, 'Loss=%.4f' % loss.data.numpy(), fontdict={'size': 20, 'color':  'red'})\n",
    "        plt.pause(0.1)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}